Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275f |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-10171875 = -1 · 3 · 56 · 7 · 31 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 0 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2142183,-1206079732] |
[a1,a2,a3,a4,a6] |
j |
-69578264895333695488/651 |
j-invariant |
L |
0.56156225515497 |
L(r)(E,1)/r! |
Ω |
0.06239580612833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48825w3 651e3 113925br3 |
Quadratic twists by: -3 5 -7 |