Atkin-Lehner |
2- 5+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17170l |
Isogeny class |
Conductor |
17170 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9728 |
Modular degree for the optimal curve |
Δ |
1734170000 = 24 · 54 · 17 · 1012 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-356,-1664] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:32:1] |
Generators of the group modulo torsion |
j |
4990567675969/1734170000 |
j-invariant |
L |
3.8087260706295 |
L(r)(E,1)/r! |
Ω |
1.1303299299485 |
Real period |
R |
0.842392554978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85850c1 |
Quadratic twists by: 5 |