Atkin-Lehner |
2- 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224fo |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-56184274944 = -1 · 219 · 37 · 72 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -5 0 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-12656] |
[a1,a2,a3,a4,a6] |
Generators |
[32:36:1] [50:-288:1] |
Generators of the group modulo torsion |
j |
-2401/6 |
j-invariant |
L |
7.6058022122063 |
L(r)(E,1)/r! |
Ω |
0.45153585589139 |
Real period |
R |
1.0527683063496 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28224bs1 7056bs1 9408ct1 28224en1 |
Quadratic twists by: -4 8 -3 -7 |