Atkin-Lehner |
2- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65824g |
Isogeny class |
Conductor |
65824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1575563264 = -1 · 212 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3 -1 2 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88,-1936] |
[a1,a2,a3,a4,a6] |
j |
-13824/289 |
j-invariant |
L |
5.1923515810588 |
L(r)(E,1)/r! |
Ω |
0.64904394684632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65824h1 65824a1 |
Quadratic twists by: -4 -11 |