Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240dy |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
146257920000 = 214 · 33 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40092,-3089776] |
[a1,a2,a3,a4,a6] |
Generators |
[988:30360:1] |
Generators of the group modulo torsion |
j |
16110654114672/330625 |
j-invariant |
L |
8.0678853544895 |
L(r)(E,1)/r! |
Ω |
0.33739268235261 |
Real period |
R |
2.9890561414443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66240x2 16560y2 66240dq2 |
Quadratic twists by: -4 8 -3 |