Atkin-Lehner |
2- 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12006q |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-289763148057444 = -1 · 22 · 317 · 23 · 293 |
Discriminant |
Eigenvalues |
2- 3- -1 4 3 1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-59513,5662653] |
[a1,a2,a3,a4,a6] |
j |
-31976054253232201/397480312836 |
j-invariant |
L |
4.3963103419503 |
L(r)(E,1)/r! |
Ω |
0.54953879274378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048u1 4002b1 |
Quadratic twists by: -4 -3 |