Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032y |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
336561412608 = 29 · 34 · 234 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25232,1550868] |
[a1,a2,a3,a4,a6] |
j |
3469972165070984/657346509 |
j-invariant |
L |
3.7328440764662 |
L(r)(E,1)/r! |
Ω |
0.93321101881867 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64032bc4 128064di4 |
Quadratic twists by: -4 8 |