Atkin-Lehner |
2- 3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866q |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-32361149770476912 = -1 · 24 · 36 · 7 · 118 · 432 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-839311,296016233] |
[a1,a2,a3,a4,a6] |
j |
-65387162212487662943089/32361149770476912 |
j-invariant |
L |
8.7474479553348 |
L(r)(E,1)/r! |
Ω |
0.36447699813895 |
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 |
59598l1 |
Quadratic twists by: -3 |