Atkin-Lehner |
11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
10043c |
Isogeny class |
Conductor |
10043 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2700 |
Modular degree for the optimal curve |
Δ |
-147039563 = -1 · 116 · 83 |
Discriminant |
Eigenvalues |
1 -1 -2 3 11- 6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,119,356] |
[a1,a2,a3,a4,a6] |
Generators |
[20:96:1] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
3.9131278782173 |
L(r)(E,1)/r! |
Ω |
1.1802144849615 |
Real period |
R |
3.3156073985525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90387n1 83a1 |
Quadratic twists by: -3 -11 |