Atkin-Lehner |
5+ 7- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775m |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
893952 |
Modular degree for the optimal curve |
Δ |
-4332764531714609375 = -1 · 57 · 78 · 112 · 433 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13042,-100146009] |
[a1,a2,a3,a4,a6] |
j |
-15702001143921/277296930029735 |
j-invariant |
L |
2.688038209864 |
L(r)(E,1)/r! |
Ω |
0.11200159018655 |
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 |
16555e1 |
Quadratic twists by: 5 |