Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136bl |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
18650671054848 = 215 · 314 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-731379,240747442] |
[a1,a2,a3,a4,a6] |
j |
14489843500598257/6246072 |
j-invariant |
L |
2.2412417825157 |
L(r)(E,1)/r! |
Ω |
0.56031044562893 |
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 |
2142d3 68544en4 5712bb3 119952gp4 |
Quadratic twists by: -4 8 -3 -7 |