Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bn |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-28214247701773224 = -1 · 23 · 34 · 74 · 137 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,67343,4507511] |
[a1,a2,a3,a4,a6] |
Generators |
[145:4092:1] |
Generators of the group modulo torsion |
j |
6997462401383/5845320936 |
j-invariant |
L |
12.217690885695 |
L(r)(E,1)/r! |
Ω |
0.24202757842884 |
Real period |
R |
2.1033572246853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999589304 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282a2 |
Quadratic twists by: 13 |