Atkin-Lehner |
17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
23987b |
Isogeny class |
Conductor |
23987 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9568 |
Modular degree for the optimal curve |
Δ |
-2003418227 = -1 · 176 · 83 |
Discriminant |
Eigenvalues |
-1 1 2 3 -3 -6 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,283,-1108] |
[a1,a2,a3,a4,a6] |
Generators |
[381:1856:27] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
4.4602596959553 |
L(r)(E,1)/r! |
Ω |
0.81842892384995 |
Real period |
R |
5.4497825846305 |
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 |
83a1 |
Quadratic twists by: 17 |