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 |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-1809827779375 = -1 · 54 · 7 · 112 · 434 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11- 0 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6689,219711] |
[a1,a2,a3,a4,a6] |
j |
-33091310339280649/1809827779375 |
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 |
82775n1 115885n1 |
Quadratic twists by: 5 -7 |