Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682b |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
3.8694309598703E+20 |
Discriminant |
Eigenvalues |
2+ 0 2 4 -2 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4575791,3647782425] |
[a1,a2,a3,a4,a6] |
Generators |
[5086825:-24090490:4913] |
Generators of the group modulo torsion |
j |
90942871473/3321188 |
j-invariant |
L |
5.9466072906632 |
L(r)(E,1)/r! |
Ω |
0.16778180873059 |
Real period |
R |
8.8606258114513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999834227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514e1 5746a1 |
Quadratic twists by: 13 17 |