Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
20280y |
Isogeny class |
Conductor |
20280 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
856321481676960000 = 28 · 38 · 54 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5931956,-5562698400] |
[a1,a2,a3,a4,a6] |
Generators |
[6712:507000:1] |
Generators of the group modulo torsion |
j |
18681746265374416/693005625 |
j-invariant |
L |
4.9113630826109 |
L(r)(E,1)/r! |
Ω |
0.096738875534627 |
Real period |
R |
3.1730800153172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40560e2 60840z2 101400k2 1560h2 |
Quadratic twists by: -4 -3 5 13 |