Atkin-Lehner |
3- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108927n |
Isogeny class |
Conductor |
108927 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-11626348116851559 = -1 · 37 · 73 · 138 · 19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 2 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-599706,178979247] |
[a1,a2,a3,a4,a6] |
j |
-95393251687599559/46496651097 |
j-invariant |
L |
3.1747709211033 |
L(r)(E,1)/r! |
Ω |
0.39684642468976 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36309x1 108927t1 |
Quadratic twists by: -3 -7 |