Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16820a |
Isogeny class |
Conductor |
16820 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
6899950523600 = 24 · 52 · 297 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6728,-170723] |
[a1,a2,a3,a4,a6] |
j |
3538944/725 |
j-invariant |
L |
1.069462712449 |
L(r)(E,1)/r! |
Ω |
0.53473135622451 |
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 |
67280j1 84100a1 580a1 |
Quadratic twists by: -4 5 29 |