Atkin-Lehner |
2- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44080j |
Isogeny class |
Conductor |
44080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
506439499788800000 = 212 · 55 · 196 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 0 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200363,4397338] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:5776:1] |
Generators of the group modulo torsion |
j |
217178255949267969/123642456003125 |
j-invariant |
L |
3.3184570824918 |
L(r)(E,1)/r! |
Ω |
0.25233742000926 |
Real period |
R |
1.0959059904702 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2755a2 |
Quadratic twists by: -4 |