Atkin-Lehner |
5+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16555a |
Isogeny class |
Conductor |
16555 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
389301171875 = 58 · 72 · 11 · 432 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11- 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108384,13724807] |
[a1,a2,a3,a4,a6] |
j |
140803508625163703929/389301171875 |
j-invariant |
L |
1.6504922852609 |
L(r)(E,1)/r! |
Ω |
0.82524614263047 |
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 |
82775n2 115885n2 |
Quadratic twists by: 5 -7 |