Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496bn |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
1729770198567824448 = 26 · 326 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-386193,67298240] |
[a1,a2,a3,a4,a6] |
j |
136530412623481024/37074978535833 |
j-invariant |
L |
4.4567506125348 |
L(r)(E,1)/r! |
Ω |
0.24759725637963 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62496bv1 124992fm1 20832f1 |
Quadratic twists by: -4 8 -3 |