Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824bk |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.1933463612362E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,558141,-158154878] |
[a1,a2,a3,a4,a6] |
j |
6439735268725823/7345472585373 |
j-invariant |
L |
3.7005428317718 |
L(r)(E,1)/r! |
Ω |
0.11564196349285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1989e6 127296cg5 10608ba6 |
Quadratic twists by: -4 8 -3 |