Atkin-Lehner |
3- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6063b |
Isogeny class |
Conductor |
6063 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
18189 = 32 · 43 · 47 |
Discriminant |
Eigenvalues |
1 3- -3 4 6 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65,-205] |
[a1,a2,a3,a4,a6] |
j |
29704593673/18189 |
j-invariant |
L |
3.3691513460633 |
L(r)(E,1)/r! |
Ω |
1.6845756730317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97008w1 18189d1 |
Quadratic twists by: -4 -3 |