Atkin-Lehner |
2+ 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
31080l |
Isogeny class |
Conductor |
31080 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
172771085970000 = 24 · 34 · 54 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14911,297110] |
[a1,a2,a3,a4,a6] |
j |
22916757309159424/10798192873125 |
j-invariant |
L |
4.0828201093985 |
L(r)(E,1)/r! |
Ω |
0.5103525136746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62160d1 93240ce1 |
Quadratic twists by: -4 -3 |