Atkin-Lehner |
2+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
7888b |
Isogeny class |
Conductor |
7888 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-10247935893296128 = -1 · 210 · 177 · 293 |
Discriminant |
Eigenvalues |
2+ -2 0 -3 4 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-99968,-13137884] |
[a1,a2,a3,a4,a6] |
j |
-107897432486570500/10007749895797 |
j-invariant |
L |
0.80125147024851 |
L(r)(E,1)/r! |
Ω |
0.13354191170809 |
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 |
3944a1 31552n1 70992d1 |
Quadratic twists by: -4 8 -3 |