Atkin-Lehner |
2+ 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26864a |
Isogeny class |
Conductor |
26864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3025280 |
Modular degree for the optimal curve |
Δ |
280743647410432 = 28 · 232 · 735 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-691023895,6991779304182] |
[a1,a2,a3,a4,a6] |
Generators |
[22992094953037785:-4047554107104:1514931509125] |
Generators of the group modulo torsion |
j |
142548595376740521772741506000/1096654872697 |
j-invariant |
L |
3.7908746266288 |
L(r)(E,1)/r! |
Ω |
0.18467619601395 |
Real period |
R |
20.527142687856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13432b1 107456c1 |
Quadratic twists by: -4 8 |