Atkin-Lehner |
2+ 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
48576bt |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6880674594816 = 214 · 38 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10097,-372945] |
[a1,a2,a3,a4,a6] |
j |
6949024664272/419963049 |
j-invariant |
L |
3.8245172387985 |
L(r)(E,1)/r! |
Ω |
0.47806465479153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48576by2 6072d2 |
Quadratic twists by: -4 8 |