Atkin-Lehner |
2+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17168a |
Isogeny class |
Conductor |
17168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1178960896 = 210 · 292 · 372 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-379,-2310] |
[a1,a2,a3,a4,a6] |
Generators |
[1443:54810:1] |
Generators of the group modulo torsion |
j |
5879513412/1151329 |
j-invariant |
L |
5.3800143907357 |
L(r)(E,1)/r! |
Ω |
1.0967997465438 |
Real period |
R |
4.9051929558601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8584a2 68672bf2 |
Quadratic twists by: -4 8 |