Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82368ca |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
27011161195020288 = 226 · 39 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11- 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21231948,37655885680] |
[a1,a2,a3,a4,a6] |
Generators |
[5960:350460:1] |
Generators of the group modulo torsion |
j |
5538928862777598289/141343488 |
j-invariant |
L |
9.9012333784839 |
L(r)(E,1)/r! |
Ω |
0.27303167672748 |
Real period |
R |
4.5330057927703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000768 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368dw2 2574k2 27456ba2 |
Quadratic twists by: -4 8 -3 |