Atkin-Lehner |
3+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5841a |
Isogeny class |
Conductor |
5841 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
192753 = 33 · 112 · 59 |
Discriminant |
Eigenvalues |
1 3+ 0 0 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-447,-3528] |
[a1,a2,a3,a4,a6] |
Generators |
[198:-15:8] |
Generators of the group modulo torsion |
j |
366293248875/7139 |
j-invariant |
L |
4.6095847042917 |
L(r)(E,1)/r! |
Ω |
1.0381919298941 |
Real period |
R |
4.4400120744168 |
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 |
93456x1 5841d1 64251c1 |
Quadratic twists by: -4 -3 -11 |