Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080bu |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-27471052800 = -1 · 216 · 36 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,479,6721] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:40:1] [5:96:1] |
Generators of the group modulo torsion |
j |
185073116/419175 |
j-invariant |
L |
5.9650325822178 |
L(r)(E,1)/r! |
Ω |
0.8238485104952 |
Real period |
R |
1.8101120856043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080bf1 5520j1 66240fy1 110400il1 |
Quadratic twists by: -4 8 -3 5 |