Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275v |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1710695085380859375 = 312 · 510 · 73 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28571563,-58784990758] |
[a1,a2,a3,a4,a6] |
j |
165084266363666392852201/109484485464375 |
j-invariant |
L |
2.3508156480125 |
L(r)(E,1)/r! |
Ω |
0.065300434667013 |
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 |
48825bi2 3255b2 113925t2 |
Quadratic twists by: -3 5 -7 |