Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136bl |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
43112957728555008 = 215 · 38 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97779,-6220622] |
[a1,a2,a3,a4,a6] |
j |
34623662831857/14438442312 |
j-invariant |
L |
2.2412417825157 |
L(r)(E,1)/r! |
Ω |
0.28015522281446 |
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 |
2142d4 68544en3 5712bb4 119952gp3 |
Quadratic twists by: -4 8 -3 -7 |