Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960cj |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2.9820899323486E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60863628,-180863183248] |
[a1,a2,a3,a4,a6] |
Generators |
[-235560722:-2030004000:50653] |
Generators of the group modulo torsion |
j |
521902963282042184836/6241849278890625 |
j-invariant |
L |
3.4280543119356 |
L(r)(E,1)/r! |
Ω |
0.054090889877308 |
Real period |
R |
7.9219770641342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000124 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960fb2 6120z2 16320p2 |
Quadratic twists by: -4 8 -3 |