Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
62656u |
Isogeny class |
Conductor |
62656 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
2705706484760576 = 218 · 114 · 893 |
Discriminant |
Eigenvalues |
2- 2 2 2 11- 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-937377,349620545] |
[a1,a2,a3,a4,a6] |
j |
347477855987736937/10321451129 |
j-invariant |
L |
5.0789144636822 |
L(r)(E,1)/r! |
Ω |
0.42324287191305 |
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 |
62656d1 15664e1 |
Quadratic twists by: -4 8 |