Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104v |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
48748020048 = 24 · 314 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2154,36983] |
[a1,a2,a3,a4,a6] |
Generators |
[19:54:1] |
Generators of the group modulo torsion |
j |
94757435392/4179357 |
j-invariant |
L |
5.0739801638487 |
L(r)(E,1)/r! |
Ω |
1.1178409026497 |
Real period |
R |
2.2695448662782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6552l1 52416et1 4368d1 91728ba1 |
Quadratic twists by: -4 8 -3 -7 |