Where is the transmission model number located on the transmission itself for a 2005 TL?

Thanks.

 

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The 07-08 TL Helms depiction, for the original transmission, is below.
It should be similar to your 05?

However, if you had it replaced with this one,
Automatic Transmission - Find the Right Part at the Right Price | AutoZone
identification data may be had on your invoice?

 

I replaced it with this exact one (it had 3 year parts and labor warranty with unlimited miles):

National Powertrain Remanufactured Automatic Transmission Assembly T295606 (autozone.com)

It doesn't have a transmission fluid fill hole like the original tranny had. The remanufactured tranny didn't come with the invoice that states which original core the transmission was remanufactured from.

I called National Powertrain and Autozone and they couldn't tell me the original model of the transmission.

 

Autozone website you supplied:
National Powertrain Remanufactured Automatic Transmission Assembly T295606 (autozone.com)


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Go-Power train website I found.
Not sure if it is the same people as National Powertrain; however, the price, pictures & part numbers are very similar.
Value Automatic Transmission Assembly GPTTNN29560636AA - Go Powertrain LLC (go-powertrain.com)