Atkin-Lehner |
2- 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048ce |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
107455315968 = 217 · 32 · 72 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30128,-2022828] |
[a1,a2,a3,a4,a6] |
j |
738395577816625/26234208 |
j-invariant |
L |
1.449494910622 |
L(r)(E,1)/r! |
Ω |
0.36237372772723 |
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 |
6006z2 |
Quadratic twists by: -4 |