Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362i |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4752000 |
Modular degree for the optimal curve |
Δ |
5.1300342136068E+20 |
Discriminant |
Eigenvalues |
2+ -2 2 -2 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8106035,8815252686] |
[a1,a2,a3,a4,a6] |
j |
4847659921191907/42218553344 |
j-invariant |
L |
0.66363839363147 |
L(r)(E,1)/r! |
Ω |
0.1659095970628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7942n1 87362bb1 |
Quadratic twists by: -11 -19 |