Atkin-Lehner |
2- 3- 7+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32844b |
Isogeny class |
Conductor |
32844 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
83616 |
Modular degree for the optimal curve |
Δ |
-18990657245952 = -1 · 28 · 313 · 7 · 172 · 23 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 5 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,443,209783] |
[a1,a2,a3,a4,a6] |
Generators |
[2:459:1] |
Generators of the group modulo torsion |
j |
37472632832/74182254867 |
j-invariant |
L |
8.3440085353514 |
L(r)(E,1)/r! |
Ω |
0.53874797457619 |
Real period |
R |
0.59568373404704 |
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 |
98532o1 |
Quadratic twists by: -3 |