Atkin-Lehner |
2- 3- 5- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430bj |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
1220100 = 22 · 3 · 52 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-125,525] |
[a1,a2,a3,a4,a6] |
j |
216108018001/1220100 |
j-invariant |
L |
5.4920250704249 |
L(r)(E,1)/r! |
Ω |
2.7460125352125 |
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 |
52290r1 87150w1 122010bx1 |
Quadratic twists by: -3 5 -7 |