Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
43290bz |
Isogeny class |
Conductor |
43290 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
38518792650000 = 24 · 36 · 55 · 134 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19652,-1012521] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:111:1] |
Generators of the group modulo torsion |
j |
1151319159547129/52837850000 |
j-invariant |
L |
10.990467425936 |
L(r)(E,1)/r! |
Ω |
0.40437267983814 |
Real period |
R |
0.67947638242599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810b1 |
Quadratic twists by: -3 |