Atkin-Lehner |
2+ 3- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97704c |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
133120 |
Modular degree for the optimal curve |
Δ |
103847822928 = 24 · 314 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4314,107953] |
[a1,a2,a3,a4,a6] |
Generators |
[404:8019:1] |
Generators of the group modulo torsion |
j |
761231276032/8903277 |
j-invariant |
L |
9.7041805255734 |
L(r)(E,1)/r! |
Ω |
1.0646506285289 |
Real period |
R |
4.5574483500582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025575 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32568h1 |
Quadratic twists by: -3 |