Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bb |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.3368431969033E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1323697,184252559] |
[a1,a2,a3,a4,a6] |
j |
256501250293917911182993/133684319690326899648 |
j-invariant |
L |
3.8976728608509 |
L(r)(E,1)/r! |
Ω |
0.16240303586879 |
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 |
107184ck3 40194u3 93786cy3 |
Quadratic twists by: -4 -3 -7 |