Atkin-Lehner |
2+ 5- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89590f |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
58643200 |
Modular degree for the optimal curve |
Δ |
-4.3456898854425E+27 |
Discriminant |
Eigenvalues |
2+ -2 5- -1 3 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-144947523,-3242021529922] |
[a1,a2,a3,a4,a6] |
j |
-2839983453749283353/36645313280000000 |
j-invariant |
L |
0.52236625732 |
L(r)(E,1)/r! |
Ω |
0.01865593601703 |
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 |
89590d1 |
Quadratic twists by: 17 |