Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440m |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5918720 = 212 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7705,262905] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:408:1] |
Generators of the group modulo torsion |
j |
12352022024896/1445 |
j-invariant |
L |
5.3224128139372 |
L(r)(E,1)/r! |
Ω |
1.85467814419 |
Real period |
R |
2.869723154182 |
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 |
5440n2 2720f1 48960bn2 27200l2 |
Quadratic twists by: -4 8 -3 5 |