Music videos, lots of them: It goes without saying that much of the power of Interpol lies in their image - their sharp suits, dashing good looks and the authority that lies in their very presence. Naturally, the goes for their videos, which are more like collaborations with the artists and directors inspired by the open ambiguity of their enigmatic sound and lyrics. We only got two videos from the last album, so we'd like a few more this time around please.

Festival headline status: When Interpol headlined Latitude festival in 2008, with the rain hammering down as the brutal notes to 'Roland' pounded into the night time, it seemed pretty much perfect. They're headlining ATP in Iceland this year, but have no major UK festival headline slots booked. The sheer excitement around their return is testament enough to their influence and how much of a big deal they are. Contemporaries like The National seemed to have overtaken them in filling arenas with gloom-rock, so here's hoping that this album lands Interpol where they belong - at the top of a lot more line-ups.

Awesome basslines: When Carlos D was at his best, you bloody knew about it. Whether it was the iconic hook in 'Evil' or the wondering majesty of 'The New', you'd struggle to find a more recognisable bassist than Mr Dengler. However then something changed, with the band themselves admitting that the vampiric Mr D wasn't enjoying playing the bass and did so without much conviction during his last few years in the band. This is the first time the band have written an album without him, so let's hope they've upped their game and returned the rhythm section to top form.

No Filler: Turn On The Bright Lights was pretty much perfect, Antics was 10 tracks of direct post-punk mastery, Our Love To Admire was a meandering touch and go affair and their self-titled fourth was a punchy, impressive albeit somewhat of a mixed bag. They've had a few years to perfect this, so here's hoping album No.5 will be all killer, no filler.

Dan Kessler: He's the coolest guitarist on the planet. Can the new album give Interpol enough attention to make this man an icon please?

Just Interpol being Interpol: There are few bands left from their era with the style, class, presence, consistency and credibility of Interpol. Their absence has felt like a presence over the last few years as wave after wave of imitators has attempted to take their throne. It just feels amazing to have them back, long may they reign.

Massive anthems: While Interpol deal primarily in atmosphere, they've also been known to drop the occasional anthem. They haven't had a track as huge as 'Evil' or 'Slow Hands' dominate the radio in a while, but new track 'All The Rage Back Home' seems to have that knack of finding the balance between darkness and hooks in spades. Welcome back, Interpol.

Big beats: Paul Banks has never shyed away from his love of hip-hop - even going as far to make an album with Wu Tang's RZA. Some of that influence crept in on their last album in rhythm section of tracks like 'Barricade', let's hope they follow Arctic Monkeys and subtly drop some more big r&b beats on this album.

Plenty of Atmosphere: When the band re-released their seminal debut Turn On The Bright Lights in 2012, it reminded us all of how they arrived on the scene as a band fully-formed, with songs complete enough to let the space between the notes truly breathe. That feeling of bubbling melodrama in 'Untitled' came back a couple of times with 'A Time To Be Small', 'Pace Is The Trick' and 'The Lighthouse', and with new song 'My Desire', it feels like the new album will indeed be everything that Interpol do best.