Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080c |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-11787541226127360 = -1 · 216 · 35 · 5 · 236 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-128161,18458785] |
[a1,a2,a3,a4,a6] |
Generators |
[-399:2432:1] |
Generators of the group modulo torsion |
j |
-3552342505518244/179863605135 |
j-invariant |
L |
3.7268057199723 |
L(r)(E,1)/r! |
Ω |
0.39750106095702 |
Real period |
R |
4.6877934250032 |
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 |
22080cp1 2760j1 66240ct1 110400do1 |
Quadratic twists by: -4 8 -3 5 |