Atkin-Lehner |
2+ 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150cn |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
364800 |
Modular degree for the optimal curve |
Δ |
-46931980446000 = -1 · 24 · 36 · 53 · 13 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -2 13- -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5202,361156] |
[a1,a2,a3,a4,a6] |
j |
-170861484149/515028592 |
j-invariant |
L |
2.2417228590035 |
L(r)(E,1)/r! |
Ω |
0.56043065280555 |
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 |
12350x1 111150ey1 |
Quadratic twists by: -3 5 |