Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520bb |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-7.7539306559679E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13742427,23748272746] |
[a1,a2,a3,a4,a6] |
Generators |
[1697:-72900:1] |
Generators of the group modulo torsion |
j |
-192245661431796830258/51935513760073125 |
j-invariant |
L |
6.5306692660477 |
L(r)(E,1)/r! |
Ω |
0.1032480631017 |
Real period |
R |
1.9766318944929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760bm3 21840k3 |
Quadratic twists by: -4 -3 |