Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448ch |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
108416329461792768 = 218 · 3 · 1310 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-211137,-33744543] |
[a1,a2,a3,a4,a6] |
j |
822656953/85683 |
j-invariant |
L |
0.89687385096781 |
L(r)(E,1)/r! |
Ω |
0.22421846274123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32448be3 8112bh3 97344fo3 2496t3 |
Quadratic twists by: -4 8 -3 13 |