Atkin-Lehner |
2+ 3+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088d |
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 |
0.62071873716504 |
L(r)(E,1)/r! |
Ω |
0.20690597661932 |
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 |
113088bd1 14136d1 |
Quadratic twists by: -4 8 |