Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104cx |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2418892366392576 = -1 · 28 · 318 · 293 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 -2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62031,6400010] |
[a1,a2,a3,a4,a6] |
j |
-5799473552/531441 |
j-invariant |
L |
0.8968406149106 |
L(r)(E,1)/r! |
Ω |
0.4484201987653 |
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 |
30276s2 40368bb2 121104cy2 |
Quadratic twists by: -4 -3 29 |