Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950ch |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
916895157300 = 22 · 317 · 52 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -5 6 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2705,-27763] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:58:1] |
Generators of the group modulo torsion |
j |
120062520625/50309748 |
j-invariant |
L |
7.2529669015038 |
L(r)(E,1)/r! |
Ω |
0.68716196081028 |
Real period |
R |
2.6387399605731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10650n1 31950bj1 |
Quadratic twists by: -3 5 |