Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888bf |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10337209198576128 = -1 · 29 · 310 · 112 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33771,5443774] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1782:1] [86:1782:1] |
Generators of the group modulo torsion |
j |
-11411900732744/27695283561 |
j-invariant |
L |
11.058354915135 |
L(r)(E,1)/r! |
Ω |
0.35980778851733 |
Real period |
R |
3.8417577631291 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999972586 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129888f2 43296o2 |
Quadratic twists by: -4 -3 |