Atkin-Lehner |
2- 3- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866p |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
174044158596 = 22 · 34 · 74 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4367,108885] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1255:1] |
Generators of the group modulo torsion |
j |
9210421457888113/174044158596 |
j-invariant |
L |
10.130266718005 |
L(r)(E,1)/r! |
Ω |
1.0164681978087 |
Real period |
R |
2.491535578743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59598g2 |
Quadratic twists by: -3 |