Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bm |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-9.8509770290493E+28 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 3 -7 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-916879448,18499580094960] |
[a1,a2,a3,a4,a6] |
Generators |
[45363241549770283020649222048717373748181333532045306857270:7699650357956513548640635460374956757640277261319688482566010:1129259771238433431184173244347921173558329605464625451] |
Generators of the group modulo torsion |
j |
-20811360814193412546644913625/24050236887327277326532608 |
j-invariant |
L |
5.6870355328326 |
L(r)(E,1)/r! |
Ω |
0.030528981742262 |
Real period |
R |
93.141585606176 |
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 |
10146f2 |
Quadratic twists by: -4 |