Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2904c |
Isogeny class |
Conductor |
2904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-1440162425078784 = -1 · 210 · 38 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 11- -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27064,621084] |
[a1,a2,a3,a4,a6] |
j |
9987164/6561 |
j-invariant |
L |
1.1998532234894 |
L(r)(E,1)/r! |
Ω |
0.29996330587234 |
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 |
5808m1 23232bo1 8712x1 72600dm1 |
Quadratic twists by: -4 8 -3 5 |