Atkin-Lehner |
2- 3- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
125244l |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2185920 |
Modular degree for the optimal curve |
Δ |
711660835088784 = 24 · 36 · 74 · 714 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -1 2 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2223669,-1276300991] |
[a1,a2,a3,a4,a6] |
j |
43420464592836352/25411681 |
j-invariant |
L |
1.9781178092654 |
L(r)(E,1)/r! |
Ω |
0.12363232441856 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13916a1 125244bc1 |
Quadratic twists by: -3 -7 |