Atkin-Lehner |
2- 3+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
117576g |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-800923317479424 = -1 · 211 · 39 · 234 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 -3 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12069,1262358] |
[a1,a2,a3,a4,a6] |
j |
4822989642/19868711 |
j-invariant |
L |
2.8732470939504 |
L(r)(E,1)/r! |
Ω |
0.35915603010111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117576a1 |
Quadratic twists by: -3 |