Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760cx |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-11904000000000000 = -1 · 219 · 3 · 512 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,42655,-3993057] |
[a1,a2,a3,a4,a6] |
Generators |
[11898:463125:8] |
Generators of the group modulo torsion |
j |
32740359775271/45410156250 |
j-invariant |
L |
5.7311486511828 |
L(r)(E,1)/r! |
Ω |
0.21364541164642 |
Real period |
R |
4.4709195226932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29760o3 7440k4 89280ex3 |
Quadratic twists by: -4 8 -3 |