Atkin-Lehner |
3- 19+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
17271f |
Isogeny class |
Conductor |
17271 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-7575639343489863 = -1 · 313 · 196 · 101 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20839,-4029568] |
[a1,a2,a3,a4,a6] |
j |
1372923521441207/10391823516447 |
j-invariant |
L |
0.41468377541369 |
L(r)(E,1)/r! |
Ω |
0.20734188770685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5757e1 |
Quadratic twists by: -3 |