Atkin-Lehner |
5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17885n |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
54912 |
Modular degree for the optimal curve |
Δ |
-89250341796875 = -1 · 511 · 73 · 732 |
Discriminant |
Eigenvalues |
-2 1 5- 7- -1 -5 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,8160,357844] |
[a1,a2,a3,a4,a6] |
Generators |
[46:912:1] |
Generators of the group modulo torsion |
j |
175164802961408/260205078125 |
j-invariant |
L |
2.8095239947871 |
L(r)(E,1)/r! |
Ω |
0.40994893057322 |
Real period |
R |
0.15575798179071 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425ba1 17885j1 |
Quadratic twists by: 5 -7 |