Atkin-Lehner |
2+ 7+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
119462a |
Isogeny class |
Conductor |
119462 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
1077069392 = 24 · 74 · 232 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -2 7+ 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-548,-4544] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:19:1] [-12:20:1] |
Generators of the group modulo torsion |
j |
7587853497/448592 |
j-invariant |
L |
7.5994017711828 |
L(r)(E,1)/r! |
Ω |
0.99030488847527 |
Real period |
R |
0.63948334333802 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988275 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119462g1 |
Quadratic twists by: -7 |