Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784cn |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1245782571932860416 = 214 · 38 · 74 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-281272,-20414380] |
[a1,a2,a3,a4,a6] |
Generators |
[-412:5070:1] |
Generators of the group modulo torsion |
j |
124475734657/63011844 |
j-invariant |
L |
7.820789991428 |
L(r)(E,1)/r! |
Ω |
0.2186887178595 |
Real period |
R |
2.2351375930398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7098b3 336d4 |
Quadratic twists by: -4 13 |