Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18928bc |
Isogeny class |
Conductor |
18928 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-4.2516909149502E+21 |
Discriminant |
Eigenvalues |
2- 2 3 7- -6 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,447456,-3135209728] |
[a1,a2,a3,a4,a6] |
Generators |
[1478690:27521697:1000] |
Generators of the group modulo torsion |
j |
17546087/7529536 |
j-invariant |
L |
8.4267319121096 |
L(r)(E,1)/r! |
Ω |
0.064835518729118 |
Real period |
R |
10.830909864026 |
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 |
2366k2 75712dc2 18928q2 |
Quadratic twists by: -4 8 13 |