Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
8900c |
Isogeny class |
Conductor |
8900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
9901250000 = 24 · 57 · 892 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-330033,-73086812] |
[a1,a2,a3,a4,a6] |
Generators |
[25249309268:2222242001873:3241792] |
Generators of the group modulo torsion |
j |
15902196690141184/39605 |
j-invariant |
L |
3.3368292150514 |
L(r)(E,1)/r! |
Ω |
0.19918659301886 |
Real period |
R |
16.752278175346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35600bd1 80100n1 1780b1 |
Quadratic twists by: -4 -3 5 |