Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ej |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5686507929600 = 216 · 38 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4908,-65968] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:135:1] |
Generators of the group modulo torsion |
j |
273671716/119025 |
j-invariant |
L |
4.5936946406218 |
L(r)(E,1)/r! |
Ω |
0.59348686065405 |
Real period |
R |
1.935044794107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000661 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240bt2 16560r2 22080ch2 |
Quadratic twists by: -4 8 -3 |