Atkin-Lehner |
2- 3- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
56550bu |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-337778451562500 = -1 · 22 · 32 · 58 · 134 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7963,924917] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:1055:1] |
Generators of the group modulo torsion |
j |
-3573857582569/21617820900 |
j-invariant |
L |
12.940306419543 |
L(r)(E,1)/r! |
Ω |
0.46654067393389 |
Real period |
R |
1.7335447826967 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310b2 |
Quadratic twists by: 5 |