Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
87204f |
Isogeny class |
Conductor |
87204 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
19206720 |
Modular degree for the optimal curve |
Δ |
-3.7821895868737E+24 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 3 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6016851,93393915705] |
[a1,a2,a3,a4,a6] |
j |
682586857472/107169154947 |
j-invariant |
L |
3.2705010864607 |
L(r)(E,1)/r! |
Ω |
0.060564836323472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87204d1 |
Quadratic twists by: 13 |