Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cl |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-266015342592 = -1 · 222 · 37 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,-24752] |
[a1,a2,a3,a4,a6] |
Generators |
[176:2340:1] |
Generators of the group modulo torsion |
j |
12167/1392 |
j-invariant |
L |
5.9552209122275 |
L(r)(E,1)/r! |
Ω |
0.46467734075448 |
Real period |
R |
3.2039548682093 |
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 |
16704t1 4176bf1 5568bg1 |
Quadratic twists by: -4 8 -3 |