Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12006g |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-4316471722786752 = -1 · 26 · 320 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48861,5234629] |
[a1,a2,a3,a4,a6] |
Generators |
[338:5051:1] |
Generators of the group modulo torsion |
j |
-17696534894747857/5921086039488 |
j-invariant |
L |
3.5188491676014 |
L(r)(E,1)/r! |
Ω |
0.4126355663364 |
Real period |
R |
2.1319352078903 |
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 |
96048bo1 4002k1 |
Quadratic twists by: -4 -3 |