Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
111202bb |
Isogeny class |
Conductor |
111202 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-388084562819044 = -1 · 22 · 76 · 132 · 474 |
Discriminant |
Eigenvalues |
2- 2 -1 7- -6 13+ -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17384,353725] |
[a1,a2,a3,a4,a6] |
Generators |
[565:-14101:1] [4142:95407:8] |
Generators of the group modulo torsion |
j |
3437831495633639/2296358359876 |
j-invariant |
L |
21.444683561876 |
L(r)(E,1)/r! |
Ω |
0.33561495589717 |
Real period |
R |
1.3311809650987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111202b1 |
Quadratic twists by: 13 |