Atkin-Lehner |
2+ 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190j |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2571478650 = -1 · 2 · 34 · 52 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-68,-2478] |
[a1,a2,a3,a4,a6] |
Generators |
[17:32:1] [19:50:1] |
Generators of the group modulo torsion |
j |
-16194277/1170450 |
j-invariant |
L |
6.8500248610274 |
L(r)(E,1)/r! |
Ω |
0.63624078097627 |
Real period |
R |
2.6916008317894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997828 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86190cf2 |
Quadratic twists by: 13 |