Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
87362bj |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
18057600 |
Modular degree for the optimal curve |
Δ |
-2.4468917571195E+23 |
Discriminant |
Eigenvalues |
2- 0 -4 4 11- 7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12812183,15960284585] |
[a1,a2,a3,a4,a6] |
j |
21414159/22528 |
j-invariant |
L |
2.8753166030186 |
L(r)(E,1)/r! |
Ω |
0.065348109072498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7942i1 87362c1 |
Quadratic twists by: -11 -19 |