Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2170b |
Isogeny class |
Conductor |
2170 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
589680 |
Modular degree for the optimal curve |
Δ |
5.0391363524359E+22 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -5 1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17795380,-26795210800] |
[a1,a2,a3,a4,a6] |
Generators |
[-3113899400119990843833752859:44000453541918792826856781038:1564514271395209590176547] |
Generators of the group modulo torsion |
j |
623225944950388227633972249/50391363524359094272000 |
j-invariant |
L |
3.3279531698515 |
L(r)(E,1)/r! |
Ω |
0.073883357279028 |
Real period |
R |
45.043339832043 |
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 |
17360ba1 69440bn1 19530cb1 10850ba1 |
Quadratic twists by: -4 8 -3 5 |