Atkin-Lehner |
2- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
9328j |
Isogeny class |
Conductor |
9328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-4775936 = -1 · 213 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 1 -3 -4 11+ 1 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32,116] |
[a1,a2,a3,a4,a6] |
Generators |
[2:8:1] |
Generators of the group modulo torsion |
j |
-912673/1166 |
j-invariant |
L |
3.3965563980138 |
L(r)(E,1)/r! |
Ω |
2.2020018701855 |
Real period |
R |
0.38562142521338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1166d1 37312ba1 83952p1 102608z1 |
Quadratic twists by: -4 8 -3 -11 |