Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080m |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
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 |
[-17119:149700:6859] |
Generators of the group modulo torsion |
j |
108750551/64000 |
j-invariant |
L |
9.0812353318618 |
L(r)(E,1)/r! |
Ω |
0.48911628375061 |
Real period |
R |
9.2833091368621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080cj2 1690h2 54080bm2 |
Quadratic twists by: -4 8 13 |