Atkin-Lehner |
2- 7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544v |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2668117579595776 = 216 · 73 · 116 · 67 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2700544,1709044736] |
[a1,a2,a3,a4,a6] |
Generators |
[800:7744:1] |
Generators of the group modulo torsion |
j |
531762488194897403137/651395893456 |
j-invariant |
L |
5.8409606225235 |
L(r)(E,1)/r! |
Ω |
0.38462856376284 |
Real period |
R |
0.63274905264619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10318i2 |
Quadratic twists by: -4 |