Atkin-Lehner |
2+ 3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
77550k |
Isogeny class |
Conductor |
77550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.5616580965153E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5673255,-4843507275] |
[a1,a2,a3,a4,a6] |
j |
161551402401047453695277/12493264772122066944 |
j-invariant |
L |
1.5728350817107 |
L(r)(E,1)/r! |
Ω |
0.098302189654493 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77550cc2 |
Quadratic twists by: 5 |