Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
16020d |
Isogeny class |
Conductor |
16020 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
34054739280 = 24 · 314 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1092,10681] |
[a1,a2,a3,a4,a6] |
j |
12346507264/2919645 |
j-invariant |
L |
3.2826657652919 |
L(r)(E,1)/r! |
Ω |
1.094221921764 |
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 |
64080be1 5340c1 80100o1 |
Quadratic twists by: -4 -3 5 |