Atkin-Lehner |
2- 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
53328z |
Isogeny class |
Conductor |
53328 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
71424 |
Modular degree for the optimal curve |
Δ |
49638555648 = 214 · 33 · 11 · 1012 |
Discriminant |
Eigenvalues |
2- 3- 4 -2 11- 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1176,-11628] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:30:1] |
Generators of the group modulo torsion |
j |
43949604889/12118788 |
j-invariant |
L |
9.7534243767027 |
L(r)(E,1)/r! |
Ω |
0.83213452054186 |
Real period |
R |
1.9534951252801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6666a1 |
Quadratic twists by: -4 |