Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
62496bp |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
5170656416933952 = 26 · 318 · 7 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-629985,192430208] |
[a1,a2,a3,a4,a6] |
j |
592661665007992000/110825111817 |
j-invariant |
L |
3.3426480512055 |
L(r)(E,1)/r! |
Ω |
0.4178310064894 |
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 |
62496bj1 124992fp1 20832g1 |
Quadratic twists by: -4 8 -3 |