Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fl |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
3.1552936733915E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28742405,-59297317635] |
[a1,a2,a3,a4,a6] |
Generators |
[-3105:3840:1] |
Generators of the group modulo torsion |
j |
30618029936661765625/3678951124992 |
j-invariant |
L |
11.615270670652 |
L(r)(E,1)/r! |
Ω |
0.065203650509458 |
Real period |
R |
1.2370718691077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042h4 2574x4 |
Quadratic twists by: -3 -7 |