Atkin-Lehner |
2- 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680gh |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
2.97932572224E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8424305,-9410435697] |
[a1,a2,a3,a4,a6] |
Generators |
[-1689:1680:1] |
Generators of the group modulo torsion |
j |
4035581015842667567824/1818436109765625 |
j-invariant |
L |
10.58990975731 |
L(r)(E,1)/r! |
Ω |
0.0886191897307 |
Real period |
R |
2.4895637133442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680z2 31920e2 |
Quadratic twists by: -4 8 |