Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dp |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
18800950210560 = 212 · 33 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9576,291060] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:714:1] |
Generators of the group modulo torsion |
j |
23711636464489/4590075735 |
j-invariant |
L |
6.449753014042 |
L(r)(E,1)/r! |
Ω |
0.65263635225408 |
Real period |
R |
0.54903409939342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1785a2 114240hu2 85680fs2 |
Quadratic twists by: -4 8 -3 |