Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fm |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-876770049600 = -1 · 26 · 38 · 52 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1833,33424] |
[a1,a2,a3,a4,a6] |
j |
14598344384/18792225 |
j-invariant |
L |
4.7743087591645 |
L(r)(E,1)/r! |
Ω |
0.59678859481328 |
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 |
48960fo1 24480h2 16320cq1 |
Quadratic twists by: -4 8 -3 |