Atkin-Lehner |
3- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36975bb |
Isogeny class |
Conductor |
36975 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
106649962632421875 = 33 · 58 · 17 · 296 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 2 -2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-124713,-6373458] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:-2466:1] |
Generators of the group modulo torsion |
j |
13729005625435849/6825597608475 |
j-invariant |
L |
3.250381495525 |
L(r)(E,1)/r! |
Ω |
0.26742867618261 |
Real period |
R |
0.67523330829377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110925bb2 7395c2 |
Quadratic twists by: -3 5 |