Atkin-Lehner |
2+ 3+ 5- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
68160j |
Isogeny class |
Conductor |
68160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3.0222648745368E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2594785,1375134817] |
[a1,a2,a3,a4,a6] |
j |
7370349688815502969/1152902555289000 |
j-invariant |
L |
1.9819063866348 |
L(r)(E,1)/r! |
Ω |
0.16515886588864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68160dq4 2130d4 |
Quadratic twists by: -4 8 |