Atkin-Lehner |
5- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16555f |
Isogeny class |
Conductor |
16555 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-4537196153875 = -1 · 53 · 73 · 113 · 433 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 11+ -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2255,-111216] |
[a1,a2,a3,a4,a6] |
j |
-1268691202441216/4537196153875 |
j-invariant |
L |
0.95315334245489 |
L(r)(E,1)/r! |
Ω |
0.3177177808183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
82775a2 115885d2 |
Quadratic twists by: 5 -7 |