Atkin-Lehner |
2- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
65660f |
Isogeny class |
Conductor |
65660 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-148378598794720000 = -1 · 28 · 54 · 712 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 0 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,17248,-18512396] |
[a1,a2,a3,a4,a6] |
Generators |
[333:4915:1] |
Generators of the group modulo torsion |
j |
18841337856/4926551875 |
j-invariant |
L |
6.1897056719384 |
L(r)(E,1)/r! |
Ω |
0.15306705952504 |
Real period |
R |
5.0547336006978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9380a1 |
Quadratic twists by: -7 |