Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bf |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3.2325053542952E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14055617,20092578975] |
[a1,a2,a3,a4,a6] |
j |
242702053576633/2554695936 |
j-invariant |
L |
1.4222694405355 |
L(r)(E,1)/r! |
Ω |
0.14222694405366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32448cg2 1014e2 97344ci2 2496j2 |
Quadratic twists by: -4 8 -3 13 |