Atkin-Lehner |
3- 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18291d |
Isogeny class |
Conductor |
18291 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-131327935011 = -1 · 38 · 73 · 13 · 672 |
Discriminant |
Eigenvalues |
0 3- -3 7- 2 13+ 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,1143,-8728] |
[a1,a2,a3,a4,a6] |
Generators |
[162:2110:1] |
Generators of the group modulo torsion |
j |
164999408648192/131327935011 |
j-invariant |
L |
3.998894998197 |
L(r)(E,1)/r! |
Ω |
0.57783720576779 |
Real period |
R |
0.14417609601954 |
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 |
54873m1 128037d1 |
Quadratic twists by: -3 -7 |