Atkin-Lehner |
2- 3- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866p |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
35780424955506 = 2 · 38 · 78 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9097,-170185] |
[a1,a2,a3,a4,a6] |
Generators |
[1126:8707:8] |
Generators of the group modulo torsion |
j |
83257100096485393/35780424955506 |
j-invariant |
L |
10.130266718005 |
L(r)(E,1)/r! |
Ω |
0.50823409890436 |
Real period |
R |
4.983071157486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59598g4 |
Quadratic twists by: -3 |