Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
12432bk |
Isogeny class |
Conductor |
12432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
257789952 = 212 · 35 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20984,1177008] |
[a1,a2,a3,a4,a6] |
j |
249487788397177/62937 |
j-invariant |
L |
1.3952396560559 |
L(r)(E,1)/r! |
Ω |
1.3952396560559 |
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 |
777e1 49728eq1 37296cm1 87024eg1 |
Quadratic twists by: -4 8 -3 -7 |