Atkin-Lehner |
2- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
32864d |
Isogeny class |
Conductor |
32864 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
41540096 = 29 · 13 · 792 |
Discriminant |
Eigenvalues |
2- 2 2 2 4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,-300] |
[a1,a2,a3,a4,a6] |
j |
306182024/81133 |
j-invariant |
L |
5.9816278511603 |
L(r)(E,1)/r! |
Ω |
1.4954069627894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32864h2 65728ba2 |
Quadratic twists by: -4 8 |