Atkin-Lehner |
3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5865c |
Isogeny class |
Conductor |
5865 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
166811948775 = 310 · 52 · 173 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-602636,-180115815] |
[a1,a2,a3,a4,a6] |
j |
24204101895346602333889/166811948775 |
j-invariant |
L |
0.85675330313817 |
L(r)(E,1)/r! |
Ω |
0.17135066062763 |
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 |
93840bg2 17595u2 29325k2 99705k2 |
Quadratic twists by: -4 -3 5 17 |