Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440d |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7398400000000 = -1 · 216 · 58 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 2 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14081,-661025] |
[a1,a2,a3,a4,a6] |
j |
-4711672753924/112890625 |
j-invariant |
L |
0.87529314739786 |
L(r)(E,1)/r! |
Ω |
0.21882328684946 |
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 |
5440s2 680c2 48960co2 27200k2 |
Quadratic twists by: -4 8 -3 5 |