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 |
Δ |
65576815695468 = 22 · 312 · 72 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11+ 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13430571,18943672293] |
[a1,a2,a3,a4,a6] |
j |
267921240494341155492698929/65576815695468 |
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 |
59598l2 |
Quadratic twists by: -3 |