Atkin-Lehner |
3+ 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65565a |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
175037420654296875 = 39 · 514 · 31 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 0 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-165863,16497892] |
[a1,a2,a3,a4,a6] |
Generators |
[98801380:10924267013:8000] |
Generators of the group modulo torsion |
j |
25637667677412363/8892822265625 |
j-invariant |
L |
4.5500278159389 |
L(r)(E,1)/r! |
Ω |
0.29501085496682 |
Real period |
R |
15.423255585886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65565c2 |
Quadratic twists by: -3 |