Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111150bs |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.6493584871292E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5181795567,-143532814066659] |
[a1,a2,a3,a4,a6] |
Generators |
[-1536512415140113:-236478533640881:36495256013] |
Generators of the group modulo torsion |
j |
1350880657298392155478632361/408174133300781250000 |
j-invariant |
L |
2.2671595669985 |
L(r)(E,1)/r! |
Ω |
0.017794564384451 |
Real period |
R |
15.925927831159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999188814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37050cg4 22230bj4 |
Quadratic twists by: -3 5 |