Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544ca |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
256 |
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 |
[-6843:24871:1] |
Generators of the group modulo torsion |
j |
82582985847542515777/44772582831427584 |
j-invariant |
L |
5.7756467928518 |
L(r)(E,1)/r! |
Ω |
0.059865875109017 |
Real period |
R |
6.0297777977426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994032 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544dq2 2142g2 22848bn2 |
Quadratic twists by: -4 8 -3 |