Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905j |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-626489748675 = -1 · 33 · 52 · 79 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 3 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1045,-39894] |
[a1,a2,a3,a4,a6] |
Generators |
[96:857:1] |
Generators of the group modulo torsion |
j |
-1073741824/5325075 |
j-invariant |
L |
4.1978029256661 |
L(r)(E,1)/r! |
Ω |
0.37915739191299 |
Real period |
R |
1.3839249264292 |
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 |
50715y1 84525cf1 2415d1 |
Quadratic twists by: -3 5 -7 |