Atkin-Lehner |
2- 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126eo |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
5322240 |
Modular degree for the optimal curve |
Δ |
-4.4840459084284E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2156720,-1588225705] |
[a1,a2,a3,a4,a6] |
Generators |
[60246:5087453:8] |
Generators of the group modulo torsion |
j |
-263993340837625/106698472452 |
j-invariant |
L |
11.504149585031 |
L(r)(E,1)/r! |
Ω |
0.061075185878416 |
Real period |
R |
3.9241760846388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999679783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042y1 126126fm1 |
Quadratic twists by: -3 -7 |