Atkin-Lehner |
2- 3+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24012a |
Isogeny class |
Conductor |
24012 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1351998747078768 = -1 · 24 · 39 · 236 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9045,1799793] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1215:1] |
Generators of the group modulo torsion |
j |
-259859232000/4293040781 |
j-invariant |
L |
5.8472806332387 |
L(r)(E,1)/r! |
Ω |
0.4065006850688 |
Real period |
R |
3.5961074901073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048r2 24012c1 |
Quadratic twists by: -4 -3 |