Atkin-Lehner |
2+ 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53742f |
Isogeny class |
Conductor |
53742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2971717632 = -1 · 212 · 34 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 2 13+ 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-485,-4912] |
[a1,a2,a3,a4,a6] |
j |
-74434516897/17584128 |
j-invariant |
L |
4.0200557655997 |
L(r)(E,1)/r! |
Ω |
0.50250697069319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53742u1 |
Quadratic twists by: 13 |