Atkin-Lehner |
2+ 3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16614k |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-6686769226176 = -1 · 26 · 313 · 13 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3627,90805] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:131:1] |
Generators of the group modulo torsion |
j |
7237215346607/9172522944 |
j-invariant |
L |
2.5266228013274 |
L(r)(E,1)/r! |
Ω |
0.50327838560714 |
Real period |
R |
1.2550821143846 |
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 |
5538n1 |
Quadratic twists by: -3 |