Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742s |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-28015455882024 = -1 · 23 · 34 · 138 · 53 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -1 13+ -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16481,851889] |
[a1,a2,a3,a4,a6] |
Generators |
[40:487:1] |
Generators of the group modulo torsion |
j |
-102568953241/5804136 |
j-invariant |
L |
11.489693995654 |
L(r)(E,1)/r! |
Ω |
0.65641365955146 |
Real period |
R |
0.72932249786511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4134d1 |
Quadratic twists by: 13 |