Atkin-Lehner |
2+ 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
22080w |
Isogeny class |
Conductor |
22080 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
397440000 = 210 · 33 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-517501,143117315] |
[a1,a2,a3,a4,a6] |
j |
14967807005098080256/388125 |
j-invariant |
L |
2.6587428514769 |
L(r)(E,1)/r! |
Ω |
0.88624761715897 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22080bw1 2760f1 66240cx1 110400y1 |
Quadratic twists by: -4 8 -3 5 |