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 |
Δ |
2366985704499603 = 310 · 119 · 17 |
Discriminant |
Eigenvalues |
1 3- 0 -2 11+ 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-127416,17337967] |
[a1,a2,a3,a4,a6] |
j |
97018944875/1003833 |
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 |
98736bl2 18513j2 6171c2 104907a2 |
Quadratic twists by: -4 -3 -11 17 |