Atkin-Lehner |
2- 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050bu |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-62769000000 = -1 · 26 · 3 · 56 · 73 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-393488,-95168719] |
[a1,a2,a3,a4,a6] |
Generators |
[768309151:45907237127:205379] |
Generators of the group modulo torsion |
j |
-431219341873148473/4017216 |
j-invariant |
L |
8.8265958783219 |
L(r)(E,1)/r! |
Ω |
0.095309607248718 |
Real period |
R |
15.434953050514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2562h2 |
Quadratic twists by: 5 |