Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57660l |
Isogeny class |
Conductor |
57660 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
39618164319840000 = 28 · 32 · 54 · 317 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-134860,-16527100] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:990:1] |
Generators of the group modulo torsion |
j |
1193895376/174375 |
j-invariant |
L |
8.8298901608737 |
L(r)(E,1)/r! |
Ω |
0.25156197970351 |
Real period |
R |
2.9250214238965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1860a2 |
Quadratic twists by: -31 |