Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224u |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7729745489596256256 = -1 · 212 · 34 · 1312 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-422049,-170523729] |
[a1,a2,a3,a4,a6] |
Generators |
[4161:264828:1] |
Generators of the group modulo torsion |
j |
-420526439488/390971529 |
j-invariant |
L |
4.9872101511388 |
L(r)(E,1)/r! |
Ω |
0.090202786411754 |
Real period |
R |
6.9111087771355 |
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 |
16224d2 32448d1 48672q2 1248c2 |
Quadratic twists by: -4 8 -3 13 |