Atkin-Lehner |
5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8405c |
Isogeny class |
Conductor |
8405 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4990578268200625 = 54 · 418 |
Discriminant |
Eigenvalues |
-1 0 5- 4 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44862,1361636] |
[a1,a2,a3,a4,a6] |
j |
2102071041/1050625 |
j-invariant |
L |
1.5299514397864 |
L(r)(E,1)/r! |
Ω |
0.38248785994659 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75645h2 42025a2 205a2 |
Quadratic twists by: -3 5 41 |