Atkin-Lehner |
5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
76705l |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28050432 |
Modular degree for the optimal curve |
Δ |
174198479653394045 = 5 · 2310 · 292 |
Discriminant |
Eigenvalues |
2 2 5- -4 -3 0 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-957149500,11398033676903] |
[a1,a2,a3,a4,a6] |
j |
2340909816497557504/4205 |
j-invariant |
L |
4.693571150331 |
L(r)(E,1)/r! |
Ω |
0.14667409923105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76705e1 |
Quadratic twists by: -23 |