Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18096o |
Isogeny class |
Conductor |
18096 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2947186944 = 28 · 34 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4524,115596] |
[a1,a2,a3,a4,a6] |
j |
40008063416272/11512449 |
j-invariant |
L |
2.7907495011341 |
L(r)(E,1)/r! |
Ω |
1.3953747505671 |
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 |
9048e2 72384bq2 54288l2 |
Quadratic twists by: -4 8 -3 |