Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080n |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4239360000 = 215 · 32 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8865,324225] |
[a1,a2,a3,a4,a6] |
j |
2351575819592/129375 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22080bn4 11040l3 66240bu4 110400dp4 |
Quadratic twists by: -4 8 -3 5 |