Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16720u |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
20956234416128000 = 218 · 53 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-691096,221254896] |
[a1,a2,a3,a4,a6] |
Generators |
[588:4224:1] |
Generators of the group modulo torsion |
j |
8912089320684236569/5116268168000 |
j-invariant |
L |
6.2563236276191 |
L(r)(E,1)/r! |
Ω |
0.37871175664344 |
Real period |
R |
1.3766678566371 |
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 |
2090d4 66880dg4 83600bw4 |
Quadratic twists by: -4 8 5 |