Atkin-Lehner |
5- 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
8585d |
Isogeny class |
Conductor |
8585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-8845134085 = -1 · 5 · 17 · 1014 |
Discriminant |
Eigenvalues |
1 0 5- 4 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,241,4230] |
[a1,a2,a3,a4,a6] |
j |
1544403549879/8845134085 |
j-invariant |
L |
3.7633805280656 |
L(r)(E,1)/r! |
Ω |
0.9408451320164 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
77265e3 42925d3 |
Quadratic twists by: -3 5 |