Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768l |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
644688 = 24 · 32 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- 0 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-107,-462] |
[a1,a2,a3,a4,a6] |
j |
8546879488/40293 |
j-invariant |
L |
2.9673522878455 |
L(r)(E,1)/r! |
Ω |
1.4836761439228 |
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 |
19536b1 78144g1 29304m1 107448ba1 |
Quadratic twists by: -4 8 -3 -11 |