Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
66240dm |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
34119047577600 = 217 · 39 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8748,-142128] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:368:1] |
Generators of the group modulo torsion |
j |
28697814/13225 |
j-invariant |
L |
4.5130564253165 |
L(r)(E,1)/r! |
Ω |
0.51587803895135 |
Real period |
R |
1.0935376397837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000593 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240a2 16560f2 66240dt2 |
Quadratic twists by: -4 8 -3 |