Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
52668x |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
891991989504 = 28 · 39 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2784,-33644] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:81:1] |
Generators of the group modulo torsion |
j |
12786860032/4779621 |
j-invariant |
L |
3.995342759462 |
L(r)(E,1)/r! |
Ω |
0.67806354867179 |
Real period |
R |
2.9461418235058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999714 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17556o1 |
Quadratic twists by: -3 |