Atkin-Lehner |
3+ 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
8745c |
Isogeny class |
Conductor |
8745 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
288585 = 32 · 5 · 112 · 53 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 11+ -4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46,98] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:9:1] [-1:12:1] |
Generators of the group modulo torsion |
j |
10779215329/288585 |
j-invariant |
L |
3.0638688816244 |
L(r)(E,1)/r! |
Ω |
3.0704757008416 |
Real period |
R |
0.99784827503672 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26235n1 43725m1 96195c1 |
Quadratic twists by: -3 5 -11 |