Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36663k |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3840000 |
Modular degree for the optimal curve |
Δ |
1.3303346330867E+23 |
Discriminant |
Eigenvalues |
2 3- 1 2 11- 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13224130,5882886697] |
[a1,a2,a3,a4,a6] |
Generators |
[3322:172199:8] |
Generators of the group modulo torsion |
j |
144367343061390585856/75093921862509429 |
j-invariant |
L |
15.680039945737 |
L(r)(E,1)/r! |
Ω |
0.091395935687982 |
Real period |
R |
8.5780838216193 |
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 |
109989s1 3333g1 |
Quadratic twists by: -3 -11 |