Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6138f |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.9021078801106E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-926721,66815037] |
[a1,a2,a3,a4,a6] |
Generators |
[-23946:384653:27] |
Generators of the group modulo torsion |
j |
120737856347074599697/67244278190817024 |
j-invariant |
L |
3.0942601797541 |
L(r)(E,1)/r! |
Ω |
0.17385129814965 |
Real period |
R |
4.4495787674399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49104bn2 2046j2 67518cb2 |
Quadratic twists by: -4 -3 -11 |