Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144w |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1600421888 = 215 · 132 · 172 |
Discriminant |
Eigenvalues |
2- -2 0 -4 2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7233,234367] |
[a1,a2,a3,a4,a6] |
Generators |
[53:52:1] |
Generators of the group modulo torsion |
j |
1277289125000/48841 |
j-invariant |
L |
2.5369862943673 |
L(r)(E,1)/r! |
Ω |
1.4072098179589 |
Real period |
R |
0.90142431568847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144s2 7072c2 127296dn2 |
Quadratic twists by: -4 8 -3 |