Atkin-Lehner |
2+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32144c |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-56949034980984832 = -1 · 211 · 714 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46501,10813418] |
[a1,a2,a3,a4,a6] |
j |
46152198846/236356841 |
j-invariant |
L |
1.0150920027903 |
L(r)(E,1)/r! |
Ω |
0.25377300069802 |
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 |
16072g4 128576cf3 4592a4 |
Quadratic twists by: -4 8 -7 |