Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080ca |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
4326400 = 210 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 -3 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-121,-545] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:1:1] [42:265:1] |
Generators of the group modulo torsion |
j |
1141504/25 |
j-invariant |
L |
10.094299773321 |
L(r)(E,1)/r! |
Ω |
1.440400589078 |
Real period |
R |
3.503990434975 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54080k1 13520z1 54080cx1 |
Quadratic twists by: -4 8 13 |