If you can find the fuse that powers that outlet, multiply the amperage of the fuse by 12 and you have the wattage at which the fuse will nominally blow. Keep things 25% or so under that value and you'll probably be okay.
(EDIT) Oops, nevermind. On the E36 at least, the charging socket shares a 10A fuse with quite a few things, some fairly important. That circuit isn't really expecting loads as high as 80W, and I would be afraid to go there.