Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224c |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
38058732518976 = 26 · 36 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39602,-3005640] |
[a1,a2,a3,a4,a6] |
Generators |
[-1671810493:-1106543430:13997521] |
Generators of the group modulo torsion |
j |
22235451328/123201 |
j-invariant |
L |
4.5812702109106 |
L(r)(E,1)/r! |
Ω |
0.33854332004644 |
Real period |
R |
13.532301302776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16224t1 32448bi2 48672bu1 1248h1 |
Quadratic twists by: -4 8 -3 13 |