Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320cj |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45187753574400 = 227 · 3 · 52 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 2 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-523841,145756095] |
[a1,a2,a3,a4,a6] |
Generators |
[6447:514560:1] |
Generators of the group modulo torsion |
j |
60643335401133841/172377600 |
j-invariant |
L |
4.8864178869392 |
L(r)(E,1)/r! |
Ω |
0.55579381521413 |
Real period |
R |
2.1979454221945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320f2 16080t2 |
Quadratic twists by: -4 8 |