Atkin-Lehner |
2- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
96748f |
Isogeny class |
Conductor |
96748 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
129276 |
Modular degree for the optimal curve |
Δ |
-806930950912 = -1 · 28 · 196 · 67 |
Discriminant |
Eigenvalues |
2- -2 2 2 -4 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,963,41983] |
[a1,a2,a3,a4,a6] |
j |
8192/67 |
j-invariant |
L |
1.9595705367211 |
L(r)(E,1)/r! |
Ω |
0.6531901513198 |
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 |
268a1 |
Quadratic twists by: -19 |