Atkin-Lehner |
2+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79376j |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
74377217024 = 210 · 116 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 -2 11- 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1331,-13310] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:30:1] |
Generators of the group modulo torsion |
j |
143748/41 |
j-invariant |
L |
4.6735553664506 |
L(r)(E,1)/r! |
Ω |
0.8075658343242 |
Real period |
R |
2.8936064203757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39688j1 656a1 |
Quadratic twists by: -4 -11 |