Atkin-Lehner |
3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16275h |
Isogeny class |
Conductor |
16275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
1.1313630260974E+20 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 3 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26795833,-53377274682] |
[a1,a2,a3,a4,a6] |
j |
217884066603827200000/11585157387237 |
j-invariant |
L |
1.1944187941343 |
L(r)(E,1)/r! |
Ω |
0.066356599674128 |
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 |
48825ba2 16275bb2 113925bt2 |
Quadratic twists by: -3 5 -7 |