I'd use Old Mechanic's method, but with an ammeter instead of a light bulb. That will give you an idea of just how much current is being drawn, instead of "Well, there's some..."
Since you have a drain that can completely kill a charged battery in 24 hours, you're probably going to see more than 1 amp. (Don't many batteries have 60 amp-hours in them?) You want less than ~250 milliamps, I think.
-soD
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