Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384i |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16087962624933888 = 214 · 312 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 6 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75057,5065137] |
[a1,a2,a3,a4,a6] |
j |
2854191868572112/981931312557 |
j-invariant |
L |
0.72029898024333 |
L(r)(E,1)/r! |
Ω |
0.36014949639214 |
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 |
72384cz2 9048n2 |
Quadratic twists by: -4 8 |