The easy way to identify the trans is to scope out the electrical connector

700R4 has a 4 pin square connector on the driver side
4L60 (non E) has a 5 pin connector
4L60E has a round connector with many pins

If it has a removeable bellhousing, it is a 4L60E

Note that not all models are the same...there are wimpy 700R4 models and there are wimpy 4L60E models. Also, a 4L60E intended for an LS motor has one bellhousing bolt hole missing (passenger top) because the LS motor has no place to drill and tap this hole.
4L65 trans are a higher rated (torque) model and look just like a 4L60 on the outside.

mike in tucson