Atkin-Lehner |
2- 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
77832g |
Isogeny class |
Conductor |
77832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
65363936256 = 210 · 310 · 23 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3459,-77330] |
[a1,a2,a3,a4,a6] |
j |
6131234308/87561 |
j-invariant |
L |
4.984567082912 |
L(r)(E,1)/r! |
Ω |
0.62307088491897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25944d1 |
Quadratic twists by: -3 |