Atkin-Lehner |
17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5491a |
Isogeny class |
Conductor |
5491 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-165559585771 = -1 · 176 · 193 |
Discriminant |
Eigenvalues |
0 2 -3 1 -3 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2697,-56465] |
[a1,a2,a3,a4,a6] |
j |
-89915392/6859 |
j-invariant |
L |
0.98937053058248 |
L(r)(E,1)/r! |
Ω |
0.32979017686083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87856l2 49419f2 19a1 104329b2 |
Quadratic twists by: -4 -3 17 -19 |