Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99416i |
Isogeny class |
Conductor |
99416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11059200 |
Modular degree for the optimal curve |
Δ |
6.4889585943361E+19 |
Discriminant |
Eigenvalues |
2- 0 2 2 -6 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-136746419,-615491374082] |
[a1,a2,a3,a4,a6] |
Generators |
[-1247056872239827971116079778:-15751278335777828384593872:184644270168006136701023] |
Generators of the group modulo torsion |
j |
11441372199297754788/2625315593 |
j-invariant |
L |
6.1974678851598 |
L(r)(E,1)/r! |
Ω |
0.04414896941103 |
Real period |
R |
35.094068872747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5848g1 |
Quadratic twists by: 17 |