Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12006f |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-33268543782912 = -1 · 218 · 38 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-981,278005] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1880:1] |
Generators of the group modulo torsion |
j |
-143301984337/45635862528 |
j-invariant |
L |
4.1913584977649 |
L(r)(E,1)/r! |
Ω |
0.5331505322191 |
Real period |
R |
1.9653729315056 |
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 |
96048bq1 4002j1 |
Quadratic twists by: -4 -3 |