Atkin-Lehner |
5+ 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16555b |
Isogeny class |
Conductor |
16555 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
3548978125 = 55 · 74 · 11 · 43 |
Discriminant |
Eigenvalues |
2 1 5+ 7- 11+ 5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5136,139945] |
[a1,a2,a3,a4,a6] |
j |
14985916673757184/3548978125 |
j-invariant |
L |
5.4771813817025 |
L(r)(E,1)/r! |
Ω |
1.3692953454256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82775e1 115885j1 |
Quadratic twists by: 5 -7 |