Atkin-Lehner |
3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
44109bb |
Isogeny class |
Conductor |
44109 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
57982062075178293 = 322 · 133 · 292 |
Discriminant |
Eigenvalues |
-1 3- 0 2 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-464405,-121144552] |
[a1,a2,a3,a4,a6] |
j |
6916014750953125/36202292361 |
j-invariant |
L |
0.73176604217278 |
L(r)(E,1)/r! |
Ω |
0.18294151051696 |
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 |
14703m2 44109z2 |
Quadratic twists by: -3 13 |