Got a last 7 for it? Looking up regular '03 model 540i/6's on realoem is showing them to have a 2.81. Do think it's open as I believe the only E39 that had an LSD from the factory was the M5 which has a 3.15 LSD in it. I don't know my E39's that well though. Couldn't tell you what other diffs might fit.