Atkin-Lehner |
2+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62866b |
Isogeny class |
Conductor |
62866 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
3179190475507472 = 24 · 17 · 438 |
Discriminant |
Eigenvalues |
2+ 0 -4 0 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-106664,13157744] |
[a1,a2,a3,a4,a6] |
j |
21230922609/502928 |
j-invariant |
L |
0.89539013417189 |
L(r)(E,1)/r! |
Ω |
0.44769506504092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1462b1 |
Quadratic twists by: -43 |