Atkin-Lehner |
2+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5440a |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3297058488320 = -1 · 227 · 5 · 173 |
Discriminant |
Eigenvalues |
2+ -1 5+ 2 0 -5 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1439,-85279] |
[a1,a2,a3,a4,a6] |
Generators |
[233:3584:1] |
Generators of the group modulo torsion |
j |
1256216039/12577280 |
j-invariant |
L |
3.0216365111976 |
L(r)(E,1)/r! |
Ω |
0.39233892572265 |
Real period |
R |
1.9253993888269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5440q2 170d2 48960db2 27200v2 |
Quadratic twists by: -4 8 -3 5 |