Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
43056s |
Isogeny class |
Conductor |
43056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1224125136 = 24 · 39 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-324,-1485] |
[a1,a2,a3,a4,a6] |
j |
11943936/3887 |
j-invariant |
L |
4.617784094517 |
L(r)(E,1)/r! |
Ω |
1.1544460236254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10764d1 43056u1 |
Quadratic twists by: -4 -3 |