Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18564f |
Isogeny class |
Conductor |
18564 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
3638544 = 24 · 3 · 73 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42,-39] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:7:1] |
Generators of the group modulo torsion |
j |
524386048/227409 |
j-invariant |
L |
3.5239175970142 |
L(r)(E,1)/r! |
Ω |
1.9470688996837 |
Real period |
R |
0.20109529751713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256cl1 55692bb1 129948bn1 |
Quadratic twists by: -4 -3 -7 |