Atkin-Lehner |
5+ 7- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11165c |
Isogeny class |
Conductor |
11165 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-30089675 = -1 · 52 · 73 · 112 · 29 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7- 11+ -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-166,922] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:38:1] [1:27:1] |
Generators of the group modulo torsion |
j |
-508934139904/30089675 |
j-invariant |
L |
2.7424756011184 |
L(r)(E,1)/r! |
Ω |
2.0618293876899 |
Real period |
R |
0.11084313512598 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100485be1 55825b1 78155j1 122815f1 |
Quadratic twists by: -3 5 -7 -11 |