Atkin-Lehner |
2- 3- 7+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55062bh |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-49827365784 = -1 · 23 · 37 · 73 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 6 -3 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2588,-51145] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1801:1] |
Generators of the group modulo torsion |
j |
-2628643361401/68350296 |
j-invariant |
L |
8.8415396022595 |
L(r)(E,1)/r! |
Ω |
0.33417575002779 |
Real period |
R |
2.2048127872795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999318 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354h1 |
Quadratic twists by: -3 |