Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
15936z |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-131710568804352 = -1 · 212 · 318 · 83 |
Discriminant |
Eigenvalues |
2- 3- 4 0 4 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25801,1679447] |
[a1,a2,a3,a4,a6] |
j |
-463756716835264/32155900587 |
j-invariant |
L |
5.1732539039535 |
L(r)(E,1)/r! |
Ω |
0.57480598932816 |
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 |
15936r2 7968e1 47808bs2 |
Quadratic twists by: -4 8 -3 |