Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080cj |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2835349504000 = -1 · 227 · 53 · 132 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 -3 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3519,-9281] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-512:1] [42:463:1] |
Generators of the group modulo torsion |
j |
108750551/64000 |
j-invariant |
L |
5.9584220109486 |
L(r)(E,1)/r! |
Ω |
0.47268660985137 |
Real period |
R |
3.1513596359439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080m2 13520ba2 54080df2 |
Quadratic twists by: -4 8 13 |