How to turn off Twitter notifications on my iPhone?

Since I've downloaded that new twitter update a few days ago it shows that red exclamation mark next to my twitter app on my iPhone whenever somebody favourites my tweet… And I hate it! Does anybody know how to get rid of it? I've tried farting around with the notification settings but nothing seems to work. Any suggestions?

There should be an setting

Settings<notification center<then click twitter. Pretty simple from there

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