Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384w |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
40609123858907136 = 222 · 34 · 132 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-933057,-347080545] |
[a1,a2,a3,a4,a6] |
j |
342695799974030257/154911513744 |
j-invariant |
L |
5.5301480119974 |
L(r)(E,1)/r! |
Ω |
0.15361522258159 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72384bp4 2262k3 |
Quadratic twists by: -4 8 |