Atkin-Lehner |
2+ 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14016k |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
24219648 = 212 · 34 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73,73] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:9:1] [-3:16:1] |
Generators of the group modulo torsion |
j |
10648000/5913 |
j-invariant |
L |
5.5907388296001 |
L(r)(E,1)/r! |
Ω |
1.845396513581 |
Real period |
R |
1.5147798287399 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14016y1 7008f1 42048s1 |
Quadratic twists by: -4 8 -3 |