Atkin-Lehner |
2- 3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018z |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1540029060185616 = 24 · 38 · 72 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-335444,-74670937] |
[a1,a2,a3,a4,a6] |
Generators |
[861:16129:1] |
Generators of the group modulo torsion |
j |
5726048926423698937/2112522716304 |
j-invariant |
L |
8.4022900507248 |
L(r)(E,1)/r! |
Ω |
0.19838291368721 |
Real period |
R |
5.2942374765024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6006l2 126126fh2 |
Quadratic twists by: -3 -7 |