Atkin-Lehner |
2- 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
113088bd |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
158726697984 = 210 · 36 · 193 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 0 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283469,57996291] |
[a1,a2,a3,a4,a6] |
j |
2460039058204469248/155006541 |
j-invariant |
L |
2.3203606928962 |
L(r)(E,1)/r! |
Ω |
0.77345353979427 |
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 |
113088d1 28272a1 |
Quadratic twists by: -4 8 |