Atkin-Lehner |
2- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
31376d |
Isogeny class |
Conductor |
31376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-38040764416 = -1 · 219 · 372 · 53 |
Discriminant |
Eigenvalues |
2- 2 1 4 1 -6 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,680,-6672] |
[a1,a2,a3,a4,a6] |
j |
8477185319/9287296 |
j-invariant |
L |
4.9835149062619 |
L(r)(E,1)/r! |
Ω |
0.62293936328339 |
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 |
3922a1 125504f1 |
Quadratic twists by: -4 8 |