Atkin-Lehner |
2- 3- 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104130bl |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-266020487815680 = -1 · 29 · 312 · 5 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -2 13+ -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,13567,-499183] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-2012:1] |
Generators of the group modulo torsion |
j |
378859052564279/364911505920 |
j-invariant |
L |
11.562309072156 |
L(r)(E,1)/r! |
Ω |
0.30090013595902 |
Real period |
R |
1.0673815446879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002728 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710q1 |
Quadratic twists by: -3 |