Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7605p |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
18526185901665 = 310 · 5 · 137 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-167342,-26305756] |
[a1,a2,a3,a4,a6] |
Generators |
[-984359796:608976647:4173281] |
Generators of the group modulo torsion |
j |
147281603041/5265 |
j-invariant |
L |
3.0041679799544 |
L(r)(E,1)/r! |
Ω |
0.23604752447091 |
Real period |
R |
12.726962448296 |
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 |
121680eo1 2535f1 38025bb1 585f1 |
Quadratic twists by: -4 -3 5 13 |