Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144f |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
183251949274637568 = 28 · 318 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 6 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-168879,-17010398] |
[a1,a2,a3,a4,a6] |
j |
2854191868572112/981931312557 |
j-invariant |
L |
2.9052939718698 |
L(r)(E,1)/r! |
Ω |
0.24210783098922 |
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 |
54288p2 9048n2 |
Quadratic twists by: -4 -3 |