Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
102312bx |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
480661776 = 24 · 36 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1911,-32137] |
[a1,a2,a3,a4,a6] |
Generators |
[-3095:29:125] |
Generators of the group modulo torsion |
j |
1350399232/841 |
j-invariant |
L |
9.608521716166 |
L(r)(E,1)/r! |
Ω |
0.7221054411697 |
Real period |
R |
3.3265646383556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013664 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11368e1 102312be1 |
Quadratic twists by: -3 -7 |