Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856p |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
4004624448 = 26 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405,-756] |
[a1,a2,a3,a4,a6] |
j |
5832000/3179 |
j-invariant |
L |
2.2717728373749 |
L(r)(E,1)/r! |
Ω |
1.1358864186453 |
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 |
53856c1 107712k1 53856d1 |
Quadratic twists by: -4 8 -3 |