Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080bv |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
77169197160000 = 26 · 32 · 54 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22546,-1240120] |
[a1,a2,a3,a4,a6] |
j |
11179320256/680625 |
j-invariant |
L |
3.1287579229704 |
L(r)(E,1)/r! |
Ω |
0.39109474009737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58080b1 116160bn2 5280f1 |
Quadratic twists by: -4 8 -11 |