Atkin-Lehner |
11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3179c |
Isogeny class |
Conductor |
3179 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-265513259 = -1 · 11 · 176 |
Discriminant |
Eigenvalues |
-2 1 -1 2 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-96,832] |
[a1,a2,a3,a4,a6] |
Generators |
[28:144:1] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
2.0565038376413 |
L(r)(E,1)/r! |
Ω |
1.5391423595769 |
Real period |
R |
0.66806810456658 |
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 |
50864bo1 28611w1 79475e1 34969h1 |
Quadratic twists by: -4 -3 5 -11 |