[math-fun] Can someone "shew that"

EllipticPi[1/3 (7 + 4 I √2), 1/81 (17 + 56 I √2)] == 1/9 (-7 + 4 I √2) EllipticPi[1/3 (7 - 4 I √2),1/81 (17 - 56 I √2)] and EllipticPi[1/27 (7 + 4 I √2), 1/81 (17 + 56 I √2)] == 1/108 (81 I √2 EllipticK[1/9] - 27 I √2 EllipticK[1/81 (17 + 56 I √2)] + 27 (4 - I √2) EllipticPi[1/27 (7 - 4 I √2), 1/81 (17 - 56 I √2)] + (-64 + 25 I √2) EllipticPi[ 1/3 (7 - 4 I √2), 1/81 (17 - 56 I √2)]) ?--rwg