Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bu |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-178814913668923392 = -1 · 214 · 36 · 710 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11619,20350818] |
[a1,a2,a3,a4,a6] |
Generators |
[1039:33614:1] |
Generators of the group modulo torsion |
j |
-58095499617/59884752788 |
j-invariant |
L |
8.0056865007195 |
L(r)(E,1)/r! |
Ω |
0.25866134671829 |
Real period |
R |
1.5475227749058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6678d1 5936q1 |
Quadratic twists by: -4 -3 |