Atkin-Lehner |
5- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
11165d |
Isogeny class |
Conductor |
11165 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-25675138671875 = -1 · 59 · 72 · 11 · 293 |
Discriminant |
Eigenvalues |
0 1 5- 7- 11+ -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9905,-454316] |
[a1,a2,a3,a4,a6] |
j |
-107480826403618816/25675138671875 |
j-invariant |
L |
1.4177537341001 |
L(r)(E,1)/r! |
Ω |
0.23629228901669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100485p1 55825c1 78155b1 122815j1 |
Quadratic twists by: -3 5 -7 -11 |