Atkin-Lehner |
3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
6171c |
Isogeny class |
Conductor |
6171 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
93472137 = 35 · 113 · 172 |
Discriminant |
Eigenvalues |
-1 3- 0 2 11+ 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-118,155] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:29:1] |
Generators of the group modulo torsion |
j |
136590875/70227 |
j-invariant |
L |
3.2766790885756 |
L(r)(E,1)/r! |
Ω |
1.6772264616923 |
Real period |
R |
0.39072589938385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736bp1 18513h1 6171b1 104907b1 |
Quadratic twists by: -4 -3 -11 17 |