Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48672cb |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-820025856 = -1 · 29 · 36 · 133 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -4 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-819,-9126] |
[a1,a2,a3,a4,a6] |
j |
-74088 |
j-invariant |
L |
0.89172272329996 |
L(r)(E,1)/r! |
Ω |
0.44586136178072 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672z1 97344dj1 5408f1 48672y1 |
Quadratic twists by: -4 8 -3 13 |