I fitted a VALEO one - don't remember if the OEM one was Valeo too - will check the old one if I won't forget

But I had bought a new one, not a remanufactured one.
Can't find the Valeo part number, but I remember it wasn't marked as suitable for the e53 but fitted the other n62 cars like e60, e61,... So I thought I will give this one a try and it works like a charm, everything was identical to the old one. Only difference according to ETK the original one is 170A and my new one will deliver 180A. Older e53 4.4 n62 also had the 180A one:
RealOEM.com - Online BMW Parts Catalog
Valeo Partnumbers I've found:
437529
TG17C027
TG17C027b