Atkin-Lehner |
2+ 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720bh |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
17038958732928000 = 210 · 33 · 53 · 118 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1660880,823286628] |
[a1,a2,a3,a4,a6] |
Generators |
[-584:39930:1] |
Generators of the group modulo torsion |
j |
494810359169371202884/16639608137625 |
j-invariant |
L |
8.6072937300042 |
L(r)(E,1)/r! |
Ω |
0.36421950527169 |
Real period |
R |
0.32822444849281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30360g4 |
Quadratic twists by: -4 |