Atkin-Lehner |
3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575b |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
385151203125 = 38 · 56 · 13 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2450,34875] |
[a1,a2,a3,a4,a6] |
j |
104154702625/24649677 |
j-invariant |
L |
1.7878460726343 |
L(r)(E,1)/r! |
Ω |
0.89392303631717 |
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 |
49725q2 663c2 |
Quadratic twists by: -3 5 |