Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384cw |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
61921549467648 = 214 · 33 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 6 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19633,982319] |
[a1,a2,a3,a4,a6] |
j |
51084117250000/3779391447 |
j-invariant |
L |
3.6580974416032 |
L(r)(E,1)/r! |
Ω |
0.60968290414753 |
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 |
72384f2 18096u2 |
Quadratic twists by: -4 8 |