Atkin-Lehner |
2- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48412k |
Isogeny class |
Conductor |
48412 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4773600 |
Modular degree for the optimal curve |
Δ |
-1.029078221881E+24 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -2 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17750201,-56662609759] |
[a1,a2,a3,a4,a6] |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
0.83490849609096 |
L(r)(E,1)/r! |
Ω |
0.034787853998493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
988b1 |
Quadratic twists by: -7 |