Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
36192m |
Isogeny class |
Conductor |
36192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5160129122304 = -1 · 212 · 32 · 136 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1537,111215] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:180:1] |
Generators of the group modulo torsion |
j |
-98099748928/1259797149 |
j-invariant |
L |
8.5344168561657 |
L(r)(E,1)/r! |
Ω |
0.64977584920947 |
Real period |
R |
3.2836003625512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36192d2 72384cg1 108576ba2 |
Quadratic twists by: -4 8 -3 |