Atkin-Lehner |
2+ 5+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86450l |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1880064 |
Modular degree for the optimal curve |
Δ |
-2877056000000000 = -1 · 216 · 59 · 7 · 132 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -2 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-464317,-121689659] |
[a1,a2,a3,a4,a6] |
Generators |
[1354:-42277:1] |
Generators of the group modulo torsion |
j |
-708513233714363169/184131584000 |
j-invariant |
L |
2.635449311449 |
L(r)(E,1)/r! |
Ω |
0.091444817626923 |
Real period |
R |
1.8012566046075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17290j1 |
Quadratic twists by: 5 |