Atkin-Lehner |
2+ 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368q |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.7104491134797E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276368700,1768291676336] |
[a1,a2,a3,a4,a6] |
j |
195453211868372997250000/14320648682977923 |
j-invariant |
L |
0.77455535118485 |
L(r)(E,1)/r! |
Ω |
0.0968194215426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368em4 5148e4 27456m4 |
Quadratic twists by: -4 8 -3 |