Atkin-Lehner |
2- 3- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
9462b |
Isogeny class |
Conductor |
9462 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
82880 |
Modular degree for the optimal curve |
Δ |
521117908992 = 214 · 35 · 19 · 832 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 0 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-662593,-207650935] |
[a1,a2,a3,a4,a6] |
j |
32170979461804880244625/521117908992 |
j-invariant |
L |
5.8567391973932 |
L(r)(E,1)/r! |
Ω |
0.16733540563981 |
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 |
75696g1 28386e1 |
Quadratic twists by: -4 -3 |