Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
14016z |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
387514368 = 216 · 34 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,-481] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:24:1] |
Generators of the group modulo torsion |
j |
12194500/5913 |
j-invariant |
L |
6.3874157592067 |
L(r)(E,1)/r! |
Ω |
1.3441753045602 |
Real period |
R |
1.187980417721 |
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 |
14016bk1 1752a1 42048u1 |
Quadratic twists by: -4 8 -3 |