Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dp |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-119931793001938944 = -1 · 219 · 36 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 2 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20916,16621200] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:3825:1] |
Generators of the group modulo torsion |
j |
5295319407/627576794 |
j-invariant |
L |
7.7649599748737 |
L(r)(E,1)/r! |
Ω |
0.25456892710891 |
Real period |
R |
2.5418655923926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296bo2 31824bg2 14144r2 |
Quadratic twists by: -4 8 -3 |