Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448cc |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-211896699715584 = -1 · 218 · 314 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 2 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4801,713569] |
[a1,a2,a3,a4,a6] |
j |
-276301129/4782969 |
j-invariant |
L |
1.8958566299935 |
L(r)(E,1)/r! |
Ω |
0.4739641574981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448ba2 8112ba2 97344et2 32448cb2 |
Quadratic twists by: -4 8 -3 13 |