Atkin-Lehner |
2+ 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16120c |
Isogeny class |
Conductor |
16120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-1133300480 = -1 · 28 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 6 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1225,-16997] |
[a1,a2,a3,a4,a6] |
j |
-794779196416/4426955 |
j-invariant |
L |
3.2266462211034 |
L(r)(E,1)/r! |
Ω |
0.40333077763793 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32240g1 128960h1 80600x1 |
Quadratic twists by: -4 8 5 |