Atkin-Lehner |
2+ 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222a |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21406095265370112 = 212 · 39 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-168252,-25572016] |
[a1,a2,a3,a4,a6] |
Generators |
[-1970:8499:8] |
Generators of the group modulo torsion |
j |
1108717875/45056 |
j-invariant |
L |
3.7699619512158 |
L(r)(E,1)/r! |
Ω |
0.23631791621362 |
Real period |
R |
3.9882312053286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57222bf1 198d3 |
Quadratic twists by: -3 17 |