Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790fj |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
2359296 |
Modular degree for the optimal curve |
Δ |
3532231448292556800 = 216 · 39 · 52 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5811287,-5389871889] |
[a1,a2,a3,a4,a6] |
j |
253060782505556761/41184460800 |
j-invariant |
L |
6.223227653827 |
L(r)(E,1)/r! |
Ω |
0.09723793349832 |
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 |
27930g1 11970bp1 |
Quadratic twists by: -3 -7 |