Atkin-Lehner |
2+ 3+ 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
54990a |
Isogeny class |
Conductor |
54990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-164970000000000 = -1 · 210 · 33 · 510 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 1 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-165915,-25978075] |
[a1,a2,a3,a4,a6] |
j |
-18707612884310785707/6110000000000 |
j-invariant |
L |
0.94619250080504 |
L(r)(E,1)/r! |
Ω |
0.11827406260006 |
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 |
54990bd1 |
Quadratic twists by: -3 |