Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440ef |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-59691453120 = -1 · 26 · 315 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,402,11338] |
[a1,a2,a3,a4,a6] |
j |
153990656/1279395 |
j-invariant |
L |
3.2474527104808 |
L(r)(E,1)/r! |
Ω |
0.81186317761845 |
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 |
37440eh1 18720p1 12480dc1 |
Quadratic twists by: -4 8 -3 |