Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150ee |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
8.3415093566307E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-249205505,601652376497] |
[a1,a2,a3,a4,a6] |
Generators |
[-1871:1031160:1] |
Generators of the group modulo torsion |
j |
150261960680978721232321/73231357863424756320 |
j-invariant |
L |
13.559713810393 |
L(r)(E,1)/r! |
Ω |
0.044560791244418 |
Real period |
R |
7.6074242585468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000114102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050bb3 22230p3 |
Quadratic twists by: -3 5 |