Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16224c |
Isogeny class |
Conductor |
16224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
867435499008 = 29 · 33 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-632792,-193538268] |
[a1,a2,a3,a4,a6] |
Generators |
[-4186708054051106157:-20479759191367910:9122385482094123] |
Generators of the group modulo torsion |
j |
11339065490696/351 |
j-invariant |
L |
4.5812702109106 |
L(r)(E,1)/r! |
Ω |
0.16927166002322 |
Real period |
R |
27.064602605552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16224t3 32448bi4 48672bu4 1248h2 |
Quadratic twists by: -4 8 -3 13 |