Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050en |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-2.3601015690363E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15913076,-33814018702] |
[a1,a2,a3,a4,a6] |
Generators |
[30006992462:11748695414079:195112] |
Generators of the group modulo torsion |
j |
-5322118838905/2818572288 |
j-invariant |
L |
6.6647305703623 |
L(r)(E,1)/r! |
Ω |
0.036878731988898 |
Real period |
R |
20.080018450681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
9.000000001876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050fj2 127050is2 |
Quadratic twists by: 5 -11 |