Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136ba |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-131738935512570624 = -1 · 28 · 37 · 712 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,119904,7040252] |
[a1,a2,a3,a4,a6] |
Generators |
[-109694:2117682:2197] |
Generators of the group modulo torsion |
j |
1021544365555712/705905647251 |
j-invariant |
L |
5.6377032004464 |
L(r)(E,1)/r! |
Ω |
0.20768561061912 |
Real period |
R |
3.393171524763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4284g2 68544dt2 5712n2 119952gz2 |
Quadratic twists by: -4 8 -3 -7 |