Atkin-Lehner |
2- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11132f |
Isogeny class |
Conductor |
11132 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-164939415344 = -1 · 24 · 117 · 232 |
Discriminant |
Eigenvalues |
2- 0 2 -4 11- -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-484,19965] |
[a1,a2,a3,a4,a6] |
j |
-442368/5819 |
j-invariant |
L |
0.86528809408449 |
L(r)(E,1)/r! |
Ω |
0.86528809408449 |
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 |
44528l1 100188w1 1012d1 |
Quadratic twists by: -4 -3 -11 |