Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6192o |
Isogeny class |
Conductor |
6192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.7397522840127E+18 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 5 -7 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8625747,-9752021998] |
[a1,a2,a3,a4,a6] |
Generators |
[9629477:736903026:1331] |
Generators of the group modulo torsion |
j |
-23769846831649063249/3261823333284 |
j-invariant |
L |
4.1674151056265 |
L(r)(E,1)/r! |
Ω |
0.044047047692851 |
Real period |
R |
11.826601679092 |
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 |
774d2 24768cm2 2064e2 |
Quadratic twists by: -4 8 -3 |