Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6171i |
Isogeny class |
Conductor |
6171 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
170544 |
Modular degree for the optimal curve |
Δ |
-8000196500690067267 = -1 · 317 · 118 · 172 |
Discriminant |
Eigenvalues |
2 3- 2 3 11- -2 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-553252,208638403] |
[a1,a2,a3,a4,a6] |
j |
-87367919423488/37321507107 |
j-invariant |
L |
7.4361081580468 |
L(r)(E,1)/r! |
Ω |
0.21870906347196 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98736cm1 18513p1 6171e1 104907p1 |
Quadratic twists by: -4 -3 -11 17 |