Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6422f |
Isogeny class |
Conductor |
6422 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-12309023411929088 = -1 · 227 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 1 0 1 6 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14453,-5380831] |
[a1,a2,a3,a4,a6] |
j |
-69173457625/2550136832 |
j-invariant |
L |
4.7193033102243 |
L(r)(E,1)/r! |
Ω |
0.17478901148979 |
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 |
51376v3 57798h3 38a2 122018j3 |
Quadratic twists by: -4 -3 13 -19 |