Atkin-Lehner |
3- 5+ 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56115k |
Isogeny class |
Conductor |
56115 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
1977212025 = 37 · 52 · 292 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 0 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-518,-3868] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:28:1] |
Generators of the group modulo torsion |
j |
21047437081/2712225 |
j-invariant |
L |
2.6027522690748 |
L(r)(E,1)/r! |
Ω |
1.009377926589 |
Real period |
R |
0.64464265570708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18705i1 |
Quadratic twists by: -3 |