Atkin-Lehner |
3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113925q |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
2.596923433548E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7081750,7209184375] |
[a1,a2,a3,a4,a6] |
j |
21366693269481169/141270303825 |
j-invariant |
L |
0.35133863862037 |
L(r)(E,1)/r! |
Ω |
0.17566966816975 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785q1 16275u1 |
Quadratic twists by: 5 -7 |