Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742q |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
329472 |
Modular degree for the optimal curve |
Δ |
-504278205876432 = -1 · 24 · 36 · 138 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 13+ -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53323,4856513] |
[a1,a2,a3,a4,a6] |
Generators |
[14:2021:1] |
Generators of the group modulo torsion |
j |
-20555172625/618192 |
j-invariant |
L |
12.152487010457 |
L(r)(E,1)/r! |
Ω |
0.52079119829007 |
Real period |
R |
0.32409253913404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53742d1 |
Quadratic twists by: 13 |