Atkin-Lehner |
3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7605s |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-84534986269297395 = -1 · 313 · 5 · 139 |
Discriminant |
Eigenvalues |
2 3- 5- -3 -1 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-289497,-61563785] |
[a1,a2,a3,a4,a6] |
Generators |
[155400050:4841099501:125000] |
Generators of the group modulo torsion |
j |
-762549907456/24024195 |
j-invariant |
L |
7.8776330232644 |
L(r)(E,1)/r! |
Ω |
0.10271964058921 |
Real period |
R |
9.5863276220568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680fb1 2535b1 38025bs1 585e1 |
Quadratic twists by: -4 -3 5 13 |