Atkin-Lehner |
3+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
36975c |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1389046396728515625 = -1 · 34 · 512 · 174 · 292 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 2 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-534838,160652156] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:14097:1] |
Generators of the group modulo torsion |
j |
-1082855496202633369/88898969390625 |
j-invariant |
L |
3.2961572468718 |
L(r)(E,1)/r! |
Ω |
0.26471716880702 |
Real period |
R |
1.5564523363404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925bg2 7395g2 |
Quadratic twists by: -3 5 |