Atkin-Lehner |
2- 3+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866o |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
48899699380224 = 212 · 32 · 72 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19569,990351] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:920:1] |
Generators of the group modulo torsion |
j |
828764231028337297/48899699380224 |
j-invariant |
L |
5.4034959381703 |
L(r)(E,1)/r! |
Ω |
0.62495883662934 |
Real period |
R |
1.4410271582348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
59598f2 |
Quadratic twists by: -3 |