Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12006g |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4772148635909016 = 23 · 313 · 232 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-836181,294495997] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:17627:1] |
Generators of the group modulo torsion |
j |
88694637150489389137/6546157250904 |
j-invariant |
L |
3.5188491676014 |
L(r)(E,1)/r! |
Ω |
0.4126355663364 |
Real period |
R |
1.0659676039452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96048bo2 4002k2 |
Quadratic twists by: -4 -3 |