Atkin-Lehner |
2+ 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976n |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
54688628736 = 214 · 34 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1457,-18705] |
[a1,a2,a3,a4,a6] |
j |
20892021712/3337929 |
j-invariant |
L |
3.1241550435285 |
L(r)(E,1)/r! |
Ω |
0.78103876090165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38976bh2 4872d2 116928bo2 |
Quadratic twists by: -4 8 -3 |