Atkin-Lehner |
2+ 3+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33072a |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-13377491712 = -1 · 28 · 33 · 13 · 533 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 5 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,5557] |
[a1,a2,a3,a4,a6] |
Generators |
[-204:1889:27] |
Generators of the group modulo torsion |
j |
5030912/52255827 |
j-invariant |
L |
5.5077555840978 |
L(r)(E,1)/r! |
Ω |
0.99188148787602 |
Real period |
R |
5.5528363533547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16536f1 99216j1 |
Quadratic twists by: -4 -3 |