Atkin-Lehner |
2- 3- 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714n |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
Δ |
64146754612233216 = 210 · 314 · 72 · 112 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-12060577,-16122307255] |
[a1,a2,a3,a4,a6] |
j |
194011722548113289089897873/64146754612233216 |
j-invariant |
L |
5.6709469117947 |
L(r)(E,1)/r! |
Ω |
0.081013527311353 |
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 |
65142o2 |
Quadratic twists by: -3 |