Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440cu |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1120872841920 = -1 · 26 · 313 · 5 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -1 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6852,-224174] |
[a1,a2,a3,a4,a6] |
j |
-762549907456/24024195 |
j-invariant |
L |
3.142616710768 |
L(r)(E,1)/r! |
Ω |
0.2618847258968 |
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 |
37440fx1 585e1 12480be1 |
Quadratic twists by: -4 8 -3 |