Atkin-Lehner |
2- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38048a |
Isogeny class |
Conductor |
38048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
186368 |
Modular degree for the optimal curve |
Δ |
127910852213824 = 26 · 294 · 414 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-942481,352173360] |
[a1,a2,a3,a4,a6] |
j |
1446643598151405267648/1998607065841 |
j-invariant |
L |
0.99497695357568 |
L(r)(E,1)/r! |
Ω |
0.49748847680481 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38048b1 76096g2 |
Quadratic twists by: -4 8 |