Atkin-Lehner |
2- 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760l |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1208760960000 = -1 · 210 · 3 · 54 · 114 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1744,-45444] |
[a1,a2,a3,a4,a6] |
Generators |
[70:644:1] [246:3900:1] |
Generators of the group modulo torsion |
j |
572550965564/1180430625 |
j-invariant |
L |
7.8573027111787 |
L(r)(E,1)/r! |
Ω |
0.45007112547001 |
Real period |
R |
8.7289566765421 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520n3 |
Quadratic twists by: -4 |