Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
55432d |
Isogeny class |
Conductor |
55432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-16617197422592 = -1 · 211 · 136 · 412 |
Discriminant |
Eigenvalues |
2- 0 2 2 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4901,-145002] |
[a1,a2,a3,a4,a6] |
Generators |
[82763596518:-766359684420:1758416743] |
Generators of the group modulo torsion |
j |
1317006/1681 |
j-invariant |
L |
6.9796343578469 |
L(r)(E,1)/r! |
Ω |
0.37142626207958 |
Real period |
R |
18.791440106517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110864d2 328a2 |
Quadratic twists by: -4 13 |