Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275u |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
4525452104389453125 = 33 · 58 · 712 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2851276,1850068073] |
[a1,a2,a3,a4,a6] |
j |
164067002153354140849/289628934680925 |
j-invariant |
L |
4.4091912336356 |
L(r)(E,1)/r! |
Ω |
0.24495506853531 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48825bm4 3255a3 113925q4 |
Quadratic twists by: -3 5 -7 |