Atkin-Lehner |
11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
3179a |
Isogeny class |
Conductor |
3179 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-9284733153971 = -1 · 113 · 178 |
Discriminant |
Eigenvalues |
0 -1 -3 -2 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3083,129940] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:144:1] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
1.5695347600179 |
L(r)(E,1)/r! |
Ω |
0.512874788898 |
Real period |
R |
1.5301344441109 |
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 |
50864bn1 28611r1 79475a1 34969d1 |
Quadratic twists by: -4 -3 5 -11 |