Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126eo |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
Δ |
-4.1989070929067E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,16596805,17162298731] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:115942:1] |
Generators of the group modulo torsion |
j |
120305466752972375/99913556179008 |
j-invariant |
L |
11.504149585031 |
L(r)(E,1)/r! |
Ω |
0.061075185878416 |
Real period |
R |
1.3080586948796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999679783 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42042y2 126126fm2 |
Quadratic twists by: -3 -7 |