Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dq |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.5561738222923E+24 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52257036,36541571600] |
[a1,a2,a3,a4,a6] |
Generators |
[-7386769033024:165078732887404:1009027027] |
Generators of the group modulo torsion |
j |
82582985847542515777/44772582831427584 |
j-invariant |
L |
4.7461485565068 |
L(r)(E,1)/r! |
Ω |
0.064051078467895 |
Real period |
R |
18.524858092814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984598 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544ca2 17136y2 22848bx2 |
Quadratic twists by: -4 8 -3 |