In March 2012, a rotational lightcurve of Amphiaraos was obtained from photometric observations by Robert Stephens, Daniel Coley and Ralph Megna at the Goat Mountain Astronomical Research Station (G79) in California. Lightcurve analysis gave a longer-than average rotation period of 34.26 hours with a brightness amplitude of 0.55 magnitude (U=2).[9]
Diameter and albedo
According to the survey carried out by the NEOWISE mission of NASA's Wide-field Infrared Survey Explorer, Amphiaraos measures 26.83 kilometers in diameter and its surface has an albedo of 0.098,[7][8] while the Collaborative Asteroid Lightcurve Link assumes a standard albedo for a carbonaceous asteroid of 0.057 and calculates a diameter of 33.54 kilometers based on an absolute magnitude of 11.1.[4]
12French, Linda M.; Stephens, Robert D.; Coley, Daniel R.; Megna, Ralph; Wasserman, Lawrence H. (July 2012). "Photometry of 17 Jovian Trojan Asteroids". The Minor Planet Bulletin. 39 (3): 183–187. Bibcode:2012MPBu...39..183F. ISSN1052-8091.