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 |
Δ |
52691435929728000 = 210 · 38 · 53 · 894 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239763,43817438] |
[a1,a2,a3,a4,a6] |
Generators |
[35769:1222840:27] |
Generators of the group modulo torsion |
j |
2041938789387844/70585021125 |
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 |
64080c4 10680a3 |
Quadratic twists by: -4 -3 |