Atkin-Lehner |
2- 3- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
84912be |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.3997997009302E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1235184,-473311020] |
[a1,a2,a3,a4,a6] |
Generators |
[20837281388:-134825592846:16194277] |
Generators of the group modulo torsion |
j |
50881404158711147377/5858885988599232 |
j-invariant |
L |
7.4330602274366 |
L(r)(E,1)/r! |
Ω |
0.14428241395285 |
Real period |
R |
12.879359341444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004894 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10614m4 |
Quadratic twists by: -4 |