Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680dp |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-267764367360 = -1 · 227 · 3 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9121,339265] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:512:1] |
Generators of the group modulo torsion |
j |
-320153881321/1021440 |
j-invariant |
L |
5.6013602224389 |
L(r)(E,1)/r! |
Ω |
0.98395982009401 |
Real period |
R |
1.4231679493421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998301236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127680cd1 31920ca1 |
Quadratic twists by: -4 8 |