Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192ch |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
38491530158592 = 29 · 34 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-83120,9191244] |
[a1,a2,a3,a4,a6] |
Generators |
[307:3564:1] |
Generators of the group modulo torsion |
j |
3073924664/1863 |
j-invariant |
L |
5.6237421534543 |
L(r)(E,1)/r! |
Ω |
0.64065628765353 |
Real period |
R |
4.3890478154951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999890401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192bi2 108192bm2 |
Quadratic twists by: -4 -7 |