Atkin-Lehner |
2+ 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422k |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.196225600033E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17851642,-29031437524] |
[a1,a2,a3,a4,a6] |
Generators |
[-2432:2147:1] |
Generators of the group modulo torsion |
j |
629155769689303170154943257/31962256000330424832 |
j-invariant |
L |
3.6106440221438 |
L(r)(E,1)/r! |
Ω |
0.073448230818914 |
Real period |
R |
1.5362197895574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266bo2 114954n2 |
Quadratic twists by: -3 -7 |