Atkin-Lehner |
2- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
76096l |
Isogeny class |
Conductor |
76096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-2493513728 = -1 · 221 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 3 -2 -3 3 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,-2416] |
[a1,a2,a3,a4,a6] |
j |
-185193/9512 |
j-invariant |
L |
1.2695334416234 |
L(r)(E,1)/r! |
Ω |
0.63476674370408 |
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 |
76096e1 19024c1 |
Quadratic twists by: -4 8 |