Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
32040g |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
851368482000 = 24 · 314 · 53 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33618,-2372083] |
[a1,a2,a3,a4,a6] |
Generators |
[2382562:36205785:6859] |
Generators of the group modulo torsion |
j |
360239905232896/72991125 |
j-invariant |
L |
5.8971968935579 |
L(r)(E,1)/r! |
Ω |
0.35258340446335 |
Real period |
R |
8.3628395705887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64080c1 10680a1 |
Quadratic twists by: -4 -3 |