Catalyzes the reversible conversion of aspartate and 2-oxoglutarate to glutamate and oxaloacetate (PubMed:25070637). Has very weak prephenate aminotransferase activity (PubMed:25070637). 2-oxoglutarate + L-aspartate = L-glutamate + oxaloacetate Homodimer. Belongs to the class-I pyridoxal-phosphate-dependent aminotransferase family.