Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720u |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
123615641600 = 216 · 52 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25256,-1536400] |
[a1,a2,a3,a4,a6] |
Generators |
[211716:2873728:729] |
Generators of the group modulo torsion |
j |
434985385981609/30179600 |
j-invariant |
L |
6.2563236276191 |
L(r)(E,1)/r! |
Ω |
0.37871175664344 |
Real period |
R |
8.2600071398226 |
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 |
2090d1 66880dg1 83600bw1 |
Quadratic twists by: -4 8 5 |