Atkin-Lehner |
2- 3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810eg |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
2592 |
Product of Tamagawa factors cp |
Δ |
-2.181203989272E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2908768,1183766339] |
[a1,a2,a3,a4,a6] |
Generators |
[-353:10801:1] |
Generators of the group modulo torsion |
j |
3733563783889728241991/2992049368000000000 |
j-invariant |
L |
12.8300416733 |
L(r)(E,1)/r! |
Ω |
0.09429301180159 |
Real period |
R |
1.889800951671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999888718 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
13090e3 |
Quadratic twists by: -3 |