Atkin-Lehner |
2- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
61100o |
Isogeny class |
Conductor |
61100 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
82018623700000000 = 28 · 58 · 135 · 472 |
Discriminant |
Eigenvalues |
2- 3 5- 0 -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-211000,-34667500] |
[a1,a2,a3,a4,a6] |
Generators |
[-7392634405151937:27969769527997483:24255525234123] |
Generators of the group modulo torsion |
j |
10388936171520/820186237 |
j-invariant |
L |
11.767733161345 |
L(r)(E,1)/r! |
Ω |
0.22387079233207 |
Real period |
R |
26.282421745954 |
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 |
61100l1 |
Quadratic twists by: 5 |