Atkin-Lehner |
5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
17675c |
Isogeny class |
Conductor |
17675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10332 |
Modular degree for the optimal curve |
Δ |
-2079446075 = -1 · 52 · 77 · 101 |
Discriminant |
Eigenvalues |
-2 0 5+ 7+ 0 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,275,1316] |
[a1,a2,a3,a4,a6] |
j |
91998720000/83177843 |
j-invariant |
L |
0.95897399710959 |
L(r)(E,1)/r! |
Ω |
0.95897399710959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17675l1 123725h1 |
Quadratic twists by: 5 -7 |