Atkin-Lehner |
2- 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59220j |
Isogeny class |
Conductor |
59220 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4784640 |
Modular degree for the optimal curve |
Δ |
7.9292980450195E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11166888,-13709195687] |
[a1,a2,a3,a4,a6] |
j |
13203001790089776726016/679809503173828125 |
j-invariant |
L |
0.99422676255456 |
L(r)(E,1)/r! |
Ω |
0.082852230083205 |
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 |
19740t1 |
Quadratic twists by: -3 |