Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cj |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1353024 = -1 · 26 · 36 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 0 -5 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] |
Generators of the group modulo torsion |
j |
-64/29 |
j-invariant |
L |
4.2227437758521 |
L(r)(E,1)/r! |
Ω |
2.1960050037236 |
Real period |
R |
1.9229208351947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16704ci1 8352g1 1856k1 |
Quadratic twists by: -4 8 -3 |