Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33072u |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
47326032 = 24 · 34 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -6 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-333,-2430] |
[a1,a2,a3,a4,a6] |
j |
256000000000/2957877 |
j-invariant |
L |
2.2362129917143 |
L(r)(E,1)/r! |
Ω |
1.118106495861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8268b1 99216z1 |
Quadratic twists by: -4 -3 |