Atkin-Lehner |
2+ 3- 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16422l |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5484762497088 = -1 · 26 · 34 · 76 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4323,27256] |
[a1,a2,a3,a4,a6] |
Generators |
[11:270:1] |
Generators of the group modulo torsion |
j |
8937659885072183/5484762497088 |
j-invariant |
L |
3.2933636694504 |
L(r)(E,1)/r! |
Ω |
0.46995500996933 |
Real period |
R |
0.87597844463488 |
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 |
49266bp2 114954o2 |
Quadratic twists by: -3 -7 |