Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448bf |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
1.4050756298248E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224318657,1293067075743] |
[a1,a2,a3,a4,a6] |
j |
986551739719628473/111045168 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
32448cg4 1014e4 97344ci4 2496j4 |
Quadratic twists by: -4 8 -3 13 |