Atkin-Lehner |
2- 3- 5- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
46530bf |
Isogeny class |
Conductor |
46530 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
1.5977628784263E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-639392,41876291] |
[a1,a2,a3,a4,a6] |
Generators |
[-819:4369:1] |
Generators of the group modulo torsion |
j |
39654925783732534969/21917186260992000 |
j-invariant |
L |
10.267588132333 |
L(r)(E,1)/r! |
Ω |
0.19131520829261 |
Real period |
R |
0.89447394380872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15510d1 |
Quadratic twists by: -3 |