Atkin-Lehner |
2- 3+ 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
48336x |
Isogeny class |
Conductor |
48336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
7127433216 = 218 · 33 · 19 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 0 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3824,-89664] |
[a1,a2,a3,a4,a6] |
j |
1510187880817/1740096 |
j-invariant |
L |
2.4285701785126 |
L(r)(E,1)/r! |
Ω |
0.60714254467297 |
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 |
6042n1 |
Quadratic twists by: -4 |