Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704cw |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-54618872832 = -1 · 210 · 37 · 293 |
Discriminant |
Eigenvalues |
2- 3- 4 -3 -1 -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1308,-21400] |
[a1,a2,a3,a4,a6] |
Generators |
[5125:366885:1] |
Generators of the group modulo torsion |
j |
-331527424/73167 |
j-invariant |
L |
5.8434919378062 |
L(r)(E,1)/r! |
Ω |
0.39231468077262 |
Real period |
R |
7.4474550968855 |
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 |
16704bd1 4176m1 5568z1 |
Quadratic twists by: -4 8 -3 |