Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
16080y |
Isogeny class |
Conductor |
16080 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1041984000000 = 212 · 35 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4760,114900] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:450:1] |
Generators of the group modulo torsion |
j |
2912566550041/254390625 |
j-invariant |
L |
6.4537178483994 |
L(r)(E,1)/r! |
Ω |
0.85333447938563 |
Real period |
R |
0.2520980148779 |
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 |
1005a1 64320bo1 48240bp1 80400bp1 |
Quadratic twists by: -4 8 -3 5 |