Atkin-Lehner |
2+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450d |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5184000 |
Modular degree for the optimal curve |
Δ |
-2665983483800000000 = -1 · 29 · 58 · 75 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7+ -5 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-215692,87563216] |
[a1,a2,a3,a4,a6] |
Generators |
[-103185:7877474:729] |
Generators of the group modulo torsion |
j |
-71024294922268689/170622942963200 |
j-invariant |
L |
8.6422820607855 |
L(r)(E,1)/r! |
Ω |
0.22659465416381 |
Real period |
R |
9.5349580185516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17290m1 |
Quadratic twists by: 5 |