Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536c |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.2131380238116E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -6 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1977254919,-33845064898762] |
[a1,a2,a3,a4,a6] |
Generators |
[1557757244744461751825877883316010834136993163518703436415845713083441231507008004562192693086807261179944893:225689307126038057030923594824188390924284454126717142139230243307641531334256879070325381566555858702034678412:25195891184848487554753685190732690215066766189134492683101158774882916726369533043124585074318661649957] |
Generators of the group modulo torsion |
j |
-123682420693557166115754136944/17551186687089033351961 |
j-invariant |
L |
7.0912850082447 |
L(r)(E,1)/r! |
Ω |
0.011320098230274 |
Real period |
R |
156.60829226022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768n2 67536f2 |
Quadratic twists by: -4 -3 |