Atkin-Lehner |
7- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17017d |
Isogeny class |
Conductor |
17017 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-761357124163272637 = -1 · 712 · 114 · 13 · 172 |
Discriminant |
Eigenvalues |
1 0 2 7- 11- 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-276536,70035849] |
[a1,a2,a3,a4,a6] |
Generators |
[9560:928537:1] |
Generators of the group modulo torsion |
j |
-2338727516507465726553/761357124163272637 |
j-invariant |
L |
6.7320763119134 |
L(r)(E,1)/r! |
Ω |
0.26836906561958 |
Real period |
R |
4.1808571195114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
119119g3 |
Quadratic twists by: -7 |