Atkin-Lehner |
2+ 3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150ba |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.440504E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 0 13+ 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2682333,688798741] |
[a1,a2,a3,a4,a6] |
Generators |
[32953980822:3744979367989:2571353] |
Generators of the group modulo torsion |
j |
187376078091802391/126464000000000 |
j-invariant |
L |
5.5792577237884 |
L(r)(E,1)/r! |
Ω |
0.095313897001597 |
Real period |
R |
14.633904129675 |
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 |
12350n3 22230bt3 |
Quadratic twists by: -3 5 |