Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
125244o |
Isogeny class |
Conductor |
125244 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
5843384064 = 28 · 38 · 72 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1407,-19978] |
[a1,a2,a3,a4,a6] |
j |
33685456/639 |
j-invariant |
L |
1.5608313382015 |
L(r)(E,1)/r! |
Ω |
0.7804163853883 |
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 |
41748g1 125244f1 |
Quadratic twists by: -3 -7 |