Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450cn |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
2.544095180484E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2997963,-1844957583] |
[a1,a2,a3,a4,a6] |
j |
190713967472892532969/16282209155097600 |
j-invariant |
L |
4.6143305194638 |
L(r)(E,1)/r! |
Ω |
0.1153582629866 |
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 |
64350u2 4290d2 |
Quadratic twists by: -3 5 |