Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
2006c |
Isogeny class |
Conductor |
2006 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1664 |
Modular degree for the optimal curve |
Δ |
-22785865136 = -1 · 24 · 176 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -3 -1 0 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30,-7260] |
[a1,a2,a3,a4,a6] |
j |
3131359847/22785865136 |
j-invariant |
L |
0.74197967913496 |
L(r)(E,1)/r! |
Ω |
0.55648475935122 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16048bc1 64192bd1 18054q1 50150z1 |
Quadratic twists by: -4 8 -3 5 |