Atkin-Lehner |
3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
52065f |
Isogeny class |
Conductor |
52065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22016 |
Modular degree for the optimal curve |
Δ |
189776925 = 38 · 52 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 0 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1128,-14567] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:2:1] |
Generators of the group modulo torsion |
j |
217732612096/260325 |
j-invariant |
L |
4.0616742271023 |
L(r)(E,1)/r! |
Ω |
0.82386007750402 |
Real period |
R |
1.2325133654499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999145 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355c1 |
Quadratic twists by: -3 |