Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244i |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
23192391350016 = 28 · 312 · 74 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16023,745486] |
[a1,a2,a3,a4,a6] |
j |
1015302736/51759 |
j-invariant |
L |
4.0019221783256 |
L(r)(E,1)/r! |
Ω |
0.66698713312158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41748j1 125244w1 |
Quadratic twists by: -3 -7 |