Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
9744p |
Isogeny class |
Conductor |
9744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-17461248 = -1 · 212 · 3 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-204] |
[a1,a2,a3,a4,a6] |
j |
-15625/4263 |
j-invariant |
L |
1.9568575837167 |
L(r)(E,1)/r! |
Ω |
0.97842879185835 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
609a1 38976z1 29232y1 68208bo1 |
Quadratic twists by: -4 8 -3 -7 |