Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17885g |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9408 |
Modular degree for the optimal curve |
Δ |
-14729066555 = -1 · 5 · 79 · 73 |
Discriminant |
Eigenvalues |
1 -1 5+ 7- 2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,122,5867] |
[a1,a2,a3,a4,a6] |
Generators |
[62:655:8] |
Generators of the group modulo torsion |
j |
4913/365 |
j-invariant |
L |
3.5875338459882 |
L(r)(E,1)/r! |
Ω |
0.95326683745962 |
Real period |
R |
1.8817049460929 |
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 |
89425m1 17885m1 |
Quadratic twists by: 5 -7 |