Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080cn |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2384640000000 = -1 · 214 · 34 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -2 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3381,-107181] |
[a1,a2,a3,a4,a6] |
Generators |
[366:6915:1] |
Generators of the group modulo torsion |
j |
-260956266496/145546875 |
j-invariant |
L |
6.3138886969663 |
L(r)(E,1)/r! |
Ω |
0.30513838482845 |
Real period |
R |
5.1729715195582 |
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 |
22080j1 5520s1 66240fz1 110400gq1 |
Quadratic twists by: -4 8 -3 5 |