Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4420a |
Isogeny class |
Conductor |
4420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
249488281250000 = 24 · 512 · 13 · 173 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16081,191100] |
[a1,a2,a3,a4,a6] |
Generators |
[-1380:75768:125] |
Generators of the group modulo torsion |
j |
28745501621960704/15593017578125 |
j-invariant |
L |
1.9669407119631 |
L(r)(E,1)/r! |
Ω |
0.4835099510325 |
Real period |
R |
8.1360919574162 |
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 |
17680i3 70720m3 39780bb3 22100e3 |
Quadratic twists by: -4 8 -3 5 |