Atkin-Lehner |
2- 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dg |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1881100584926640 = -1 · 24 · 38 · 5 · 7 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14152,1980011] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-1709:1] [21:1501:1] |
Generators of the group modulo torsion |
j |
430009859127239/2580384890160 |
j-invariant |
L |
16.115343780719 |
L(r)(E,1)/r! |
Ω |
0.3390151286634 |
Real period |
R |
0.99032845581252 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969819 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270bk2 |
Quadratic twists by: -3 |