Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
31850cb |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
3957896186562500 = 22 · 57 · 78 · 133 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-286063,-58835883] |
[a1,a2,a3,a4,a6] |
j |
1408317602329/2153060 |
j-invariant |
L |
2.4774519870361 |
L(r)(E,1)/r! |
Ω |
0.2064543322528 |
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 |
6370h1 4550q1 |
Quadratic twists by: 5 -7 |