Atkin-Lehner |
2- 5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17290l |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
172900 = 22 · 52 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13- 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33,77] |
[a1,a2,a3,a4,a6] |
j |
3862503009/172900 |
j-invariant |
L |
3.1801513719948 |
L(r)(E,1)/r! |
Ω |
3.1801513719948 |
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 |
86450b1 121030bf1 |
Quadratic twists by: 5 -7 |