Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18018k |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.6511869652587E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1690011,-808111323] |
[a1,a2,a3,a4,a6] |
Generators |
[-794:6117:1] |
Generators of the group modulo torsion |
j |
732259344458458209457/36367448083110144 |
j-invariant |
L |
4.4226719863935 |
L(r)(E,1)/r! |
Ω |
0.13282016915467 |
Real period |
R |
2.7748496422779 |
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 |
6006bf2 126126ch2 |
Quadratic twists by: -3 -7 |