Atkin-Lehner |
3- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
5841f |
Isogeny class |
Conductor |
5841 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
1889172153 = 37 · 114 · 59 |
Discriminant |
Eigenvalues |
1 3- 2 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-396,2299] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:77:1] |
Generators of the group modulo torsion |
j |
9434056897/2591457 |
j-invariant |
L |
5.2855897238673 |
L(r)(E,1)/r! |
Ω |
1.3812463559518 |
Real period |
R |
1.9133406944719 |
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 |
93456bq1 1947c1 64251z1 |
Quadratic twists by: -4 -3 -11 |