Atkin-Lehner |
2- 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368dg |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-165970924061589504 = -1 · 218 · 39 · 114 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9396,-19597680] |
[a1,a2,a3,a4,a6] |
j |
17779581/32166277 |
j-invariant |
L |
3.5967882596774 |
L(r)(E,1)/r! |
Ω |
0.14986617917872 |
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 |
82368d1 20592q1 82368cw1 |
Quadratic twists by: -4 8 -3 |