Get the AA out mate, they have a device that checks various things for power drain, really good tool.
P.S Take the battery back to wherever you got it, they'll replace it. Had an issue with my e30 325 where it drained the battery every 3 months or so - Europarts happily replaced each time 'sorry sir, seems to be a faulty battery'! I had 4 batterys in total.
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