Atkin-Lehner |
5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51205d |
Isogeny class |
Conductor |
51205 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.6161054816643E+20 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48138295,128563258200] |
[a1,a2,a3,a4,a6] |
j |
104859453317683374662841/2223652969140625 |
j-invariant |
L |
0.32235814867624 |
L(r)(E,1)/r! |
Ω |
0.16117907439961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1045b2 |
Quadratic twists by: -7 |