Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080j |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
108160000 = 210 · 54 · 132 |
Discriminant |
Eigenvalues |
2+ 1 5+ -5 -5 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121,79] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:25:1] |
Generators of the group modulo torsion |
j |
1141504/625 |
j-invariant |
L |
3.3793014476622 |
L(r)(E,1)/r! |
Ω |
1.6354950543629 |
Real period |
R |
1.0331127075412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080ce1 3380g1 54080bj1 |
Quadratic twists by: -4 8 13 |