Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680ds |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.7998842476633E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257043,337082258] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:18954:1] |
Generators of the group modulo torsion |
j |
-629004249876241/16074715228425 |
j-invariant |
L |
4.0837911740262 |
L(r)(E,1)/r! |
Ω |
0.16844458855358 |
Real period |
R |
3.0305152633809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5355f4 28560cv3 |
Quadratic twists by: -4 -3 |