Atkin-Lehner |
2- 3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
56610u |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1003520 |
Modular degree for the optimal curve |
Δ |
32328240998400000 = 214 · 310 · 55 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1762583,901082927] |
[a1,a2,a3,a4,a6] |
j |
830700905764449966121/44346009600000 |
j-invariant |
L |
4.8889490275449 |
L(r)(E,1)/r! |
Ω |
0.34921064484964 |
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 |
18870m1 |
Quadratic twists by: -3 |