Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520u |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
67600 = 24 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3 5+ 3 3 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13,-13] |
[a1,a2,a3,a4,a6] |
j |
89856/25 |
j-invariant |
L |
5.1342043862235 |
L(r)(E,1)/r! |
Ω |
2.5671021931118 |
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 |
3380d1 54080dh1 121680fd1 67600cn1 |
Quadratic twists by: -4 8 -3 5 |