Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12006j |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-268406136 = -1 · 23 · 37 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 0 -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16301016,-25327962792] |
[a1,a2,a3,a4,a6] |
Generators |
[33763628049:11288234905089:300763] |
Generators of the group modulo torsion |
j |
-657113243203147908283777/368184 |
j-invariant |
L |
2.6135396572443 |
L(r)(E,1)/r! |
Ω |
0.037567810913315 |
Real period |
R |
17.392147650517 |
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 |
96048y1 4002p1 |
Quadratic twists by: -4 -3 |