Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080n |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
48288960 = 26 · 38 · 5 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180,-810] |
[a1,a2,a3,a4,a6] |
j |
10133786944/754515 |
j-invariant |
L |
2.6178767670456 |
L(r)(E,1)/r! |
Ω |
1.3089383835228 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080bn1 11040l2 66240bu1 110400dp1 |
Quadratic twists by: -4 8 -3 5 |