Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16704co |
Isogeny class |
Conductor |
16704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-310630648716288 = -1 · 210 · 321 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -3 -5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3396,851384] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:963:1] |
Generators of the group modulo torsion |
j |
-5802287872/416118303 |
j-invariant |
L |
3.5509956697495 |
L(r)(E,1)/r! |
Ω |
0.44912307698675 |
Real period |
R |
3.9532545216489 |
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 |
16704u1 4176bd1 5568x1 |
Quadratic twists by: -4 8 -3 |