Atkin-Lehner |
2- 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
47150o |
Isogeny class |
Conductor |
47150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
8675600000000 = 210 · 58 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9963,-359719] |
[a1,a2,a3,a4,a6] |
j |
6999657683689/555238400 |
j-invariant |
L |
9.6053054463824 |
L(r)(E,1)/r! |
Ω |
0.48026527231371 |
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 |
9430b1 |
Quadratic twists by: 5 |