Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368bi |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
48359826358272 = 215 · 38 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 11+ 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-510636,-140447504] |
[a1,a2,a3,a4,a6] |
Generators |
[11054:1159704:1] |
Generators of the group modulo torsion |
j |
616425416371016/2024451 |
j-invariant |
L |
6.9398365713443 |
L(r)(E,1)/r! |
Ω |
0.17859602265536 |
Real period |
R |
4.8572166269035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007811 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82368cl2 41184be2 27456bh2 |
Quadratic twists by: -4 8 -3 |