Atkin-Lehner |
2- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
62524b |
Isogeny class |
Conductor |
62524 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
7138074846734956432 = 24 · 711 · 11 · 295 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 11+ -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-593994,-120323195] |
[a1,a2,a3,a4,a6] |
j |
12312957911772928/3792039693673 |
j-invariant |
L |
1.761025466921 |
L(r)(E,1)/r! |
Ω |
0.17610254734912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932a1 |
Quadratic twists by: -7 |