Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136bl |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
219202948694016 = 218 · 310 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45939,3722290] |
[a1,a2,a3,a4,a6] |
j |
3590714269297/73410624 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
2142d2 68544en2 5712bb2 119952gp2 |
Quadratic twists by: -4 8 -3 -7 |