ZF 5HP24 BMW designation A5S 440Z troubleshooting

found in:

BMW 5 Series E39, 7 Series E38, 8 Series E31 .......... 95-Current
Jaguar XK8 (X100), .................................................. ... 96-Current
Jaguar XJ8 (X300), .................................................. .... 97-Current
Audi A8 (All Wheel Drive 5HP-24A) ......................... 96-Current

http://virtusplatform.com/sam/BMW/e3...P24%20diag.pdf
BMW designation A5S 440Z
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This transmission is manufactured in Germany by ZF and carries the BMW designation A5S 440Z.
Key to designation:
A = Automatic
5 = Speed Transmission
S = Overdrive Top Gear
440 = Maximum Torque Capacity (Nm)
Z = Manufacturer

The A5S 440Z is an electronically controlled, five speed automatic transmission with a lock-up clutch type torque converter. Three planetary gear sets (Wilson Gearing), three rotating multiple disc clutches, three multiple disc brake clutches, and one sprag clutch (Freewheel) are used to provide the five forward speeds and reverse.