Atkin-Lehner |
3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65559d |
Isogeny class |
Conductor |
65559 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7224908550561 = 32 · 132 · 416 |
Discriminant |
Eigenvalues |
1 3- 2 4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7600,-220399] |
[a1,a2,a3,a4,a6] |
j |
10218313/1521 |
j-invariant |
L |
4.6478502508559 |
L(r)(E,1)/r! |
Ω |
0.51642780618908 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39a1 |
Quadratic twists by: 41 |