Atkin-Lehner |
2+ 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150ca |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6967296 |
Modular degree for the optimal curve |
Δ |
-7.5340903151672E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2667483,-3825338859] |
[a1,a2,a3,a4,a6] |
j |
184281206604333047/661429053732096 |
j-invariant |
L |
0.26861478702483 |
L(r)(E,1)/r! |
Ω |
0.067153820697404 |
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 |
37050cl1 4446r1 |
Quadratic twists by: -3 5 |