Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ft |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
-1.7206214103539E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4013330,-3681320191] |
[a1,a2,a3,a4,a6] |
j |
-83353234419015625/20061784190448 |
j-invariant |
L |
2.5278175515511 |
L(r)(E,1)/r! |
Ω |
0.052662843181088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042bd1 18018bd1 |
Quadratic twists by: -3 -7 |