Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018k |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
757917518606696448 = 216 · 311 · 73 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-296091,45804069] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:10533:1] |
Generators of the group modulo torsion |
j |
3937972047511014577/1039667378061312 |
j-invariant |
L |
4.4226719863935 |
L(r)(E,1)/r! |
Ω |
0.26564033830934 |
Real period |
R |
1.3874248211389 |
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 |
6006bf1 126126ch1 |
Quadratic twists by: -3 -7 |