Atkin-Lehner |
2+ 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14016l |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
688914432 = 220 · 32 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,-8895] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:8:1] [-16:9:1] |
Generators of the group modulo torsion |
j |
244140625/2628 |
j-invariant |
L |
5.4852672232836 |
L(r)(E,1)/r! |
Ω |
0.88915462015664 |
Real period |
R |
3.084540696823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14016by1 438b1 42048t1 |
Quadratic twists by: -4 8 -3 |