Atkin-Lehner |
2- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
65600bw |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.762656256E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34986700,79652826000] |
[a1,a2,a3,a4,a6] |
Generators |
[-120146860809010:-8282947445760000:23467349647] |
Generators of the group modulo torsion |
j |
1156305808919628801/4303360000 |
j-invariant |
L |
6.7621640194702 |
L(r)(E,1)/r! |
Ω |
0.19175618185999 |
Real period |
R |
17.632193011009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000371 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65600s2 16400r2 13120bj2 |
Quadratic twists by: -4 8 5 |