Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440ck |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-164493318931200 = -1 · 28 · 313 · 52 · 73 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 3 -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11892,-793676] |
[a1,a2,a3,a4,a6] |
Generators |
[668:17010:1] |
Generators of the group modulo torsion |
j |
-996600085504/881415675 |
j-invariant |
L |
8.3218065481731 |
L(r)(E,1)/r! |
Ω |
0.22045671914112 |
Real period |
R |
0.7864172623537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39480j1 |
Quadratic twists by: -3 |