Atkin-Lehner |
3+ 5- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
65565c |
Isogeny class |
Conductor |
65565 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
240106201171875 = 33 · 514 · 31 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18429,-604890] |
[a1,a2,a3,a4,a6] |
Generators |
[4718:108891:8] |
Generators of the group modulo torsion |
j |
25637667677412363/8892822265625 |
j-invariant |
L |
9.6847425099056 |
L(r)(E,1)/r! |
Ω |
0.42137279089282 |
Real period |
R |
3.2833981550608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65565a2 |
Quadratic twists by: -3 |