Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
14016bn |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-3069504 = -1 · 26 · 32 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,90] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
-3241792/47961 |
j-invariant |
L |
4.2502470370176 |
L(r)(E,1)/r! |
Ω |
2.1395442769543 |
Real period |
R |
1.9865197849833 |
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 |
14016cb1 7008g2 42048cj1 |
Quadratic twists by: -4 8 -3 |