Panathenaic amphorae were large vessels that contained the olive oil given as a prizes in the quadrennial Panathenaic Games in Athens. The amphorae had a distinctive form, with a narrow neck and foot, and were decorated in the black-figure technique. The goddess Athena always appeared  on one side; on the other side painters depicted the athletic event for which the prize was won. Web resource here.

Attributed to the Euphiletos Painter. Panathenaic prize amphora. The inscription running down the column in front of Athena reads: τῶν Ἀθήνηθεν ἄθλων (“of the games for Athena”). Ca. 530 BCE. Metropolitan Museum of Art, New York.