Atkin-Lehner |
2- 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560by |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-139072204800 = -1 · 212 · 310 · 52 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1293,-1294] |
[a1,a2,a3,a4,a6] |
Generators |
[7:90:1] [17:160:1] |
Generators of the group modulo torsion |
j |
80062991/46575 |
j-invariant |
L |
6.6427673725154 |
L(r)(E,1)/r! |
Ω |
0.61227187520358 |
Real period |
R |
1.3561719151127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1035f1 66240eq1 5520p1 82800er1 |
Quadratic twists by: -4 8 -3 5 |