Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160fk |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
3.0505523821728E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24448816,-46521286370] |
[a1,a2,a3,a4,a6] |
Generators |
[404443554142767976077990888:116659934610975587001889070561:4843560517766010685952] |
Generators of the group modulo torsion |
j |
14254800421166387776/269055826875 |
j-invariant |
L |
5.2495400251286 |
L(r)(E,1)/r! |
Ω |
0.06789465518425 |
Real period |
R |
38.659449948226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999570125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160hv1 58080ba2 10560bi1 |
Quadratic twists by: -4 8 -11 |