Atkin-Lehner |
2- 3+ 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16422o |
Isogeny class |
Conductor |
16422 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3926596827048 = -1 · 23 · 3 · 7 · 174 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2289,103287] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:326:1] [9:284:1] |
Generators of the group modulo torsion |
j |
-1326395220521617/3926596827048 |
j-invariant |
L |
7.5690049133889 |
L(r)(E,1)/r! |
Ω |
0.68950631984994 |
Real period |
R |
3.6591421502055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49266t3 114954cp3 |
Quadratic twists by: -3 -7 |