Atkin-Lehner |
2+ 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650d |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
2711706439680000000 = 218 · 39 · 57 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-357792,22639616] |
[a1,a2,a3,a4,a6] |
j |
16470430613307/8817213440 |
j-invariant |
L |
1.7883206960232 |
L(r)(E,1)/r! |
Ω |
0.22354006837401 |
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 |
97650ck1 19530bn1 |
Quadratic twists by: -3 5 |