Atkin-Lehner |
3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6171b |
Isogeny class |
Conductor |
6171 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
165591592495857 = 35 · 119 · 172 |
Discriminant |
Eigenvalues |
1 3- 0 -2 11+ 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14281,-220585] |
[a1,a2,a3,a4,a6] |
j |
136590875/70227 |
j-invariant |
L |
2.3081289284316 |
L(r)(E,1)/r! |
Ω |
0.46162578568633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98736bl1 18513j1 6171c1 104907a1 |
Quadratic twists by: -4 -3 -11 17 |