Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840u |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1104088489620480 = -1 · 210 · 312 · 5 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6120,-1585980] |
[a1,a2,a3,a4,a6] |
j |
24751815369116/1078211415645 |
j-invariant |
L |
2.8194156570013 |
L(r)(E,1)/r! |
Ω |
0.23495130475011 |
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 |
10920e4 87360er3 65520u3 109200h3 |
Quadratic twists by: -4 8 -3 5 |