Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440n |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-133633600 = -1 · 26 · 52 · 174 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-480,-4250] |
[a1,a2,a3,a4,a6] |
Generators |
[365:6970:1] |
Generators of the group modulo torsion |
j |
-191501383744/2088025 |
j-invariant |
L |
3.0627903497246 |
L(r)(E,1)/r! |
Ω |
0.509567475203 |
Real period |
R |
3.0052843821169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5440m1 2720c2 48960bi1 27200j1 |
Quadratic twists by: -4 8 -3 5 |