Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275t |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
12886364703515625 = 36 · 58 · 72 · 314 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-473126,125101523] |
[a1,a2,a3,a4,a6] |
j |
749605580278405201/824727341025 |
j-invariant |
L |
4.7699504136274 |
L(r)(E,1)/r! |
Ω |
0.39749586780228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48825bl2 3255d2 113925p2 |
Quadratic twists by: -3 5 -7 |