The EDIFF in Elastic calculation

Yes, we use the same EDIFF for all elastic calculations, which is 1e-6 by default. The elastic workflow is in atomate atomate/core.py at 43a347a0cfd7586526c22b00f11f0b18b8747d0a · hackingmaterials/atomate · GitHub, where you can find all calculation details. (
Below is a typical INCAR for an optimization task.)

Unfortunately, the elastic calculation details are not available from MPRester (correct me if I am wrong @mkhorton).