Atkin-Lehner |
2+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
14144f |
Isogeny class |
Conductor |
14144 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-164515491086336 = -1 · 219 · 13 · 176 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 2 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2324,615600] |
[a1,a2,a3,a4,a6] |
j |
5295319407/627576794 |
j-invariant |
L |
1.7637052631237 |
L(r)(E,1)/r! |
Ω |
0.44092631578093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14144r2 442a2 127296bo2 |
Quadratic twists by: -4 8 -3 |