Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2184l |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
14842341835776 = 210 · 36 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40152,-3104640] |
[a1,a2,a3,a4,a6] |
j |
6991270724335972/14494474449 |
j-invariant |
L |
3.0357671805775 |
L(r)(E,1)/r! |
Ω |
0.33730746450861 |
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 |
4368b2 17472p2 6552j2 54600e2 |
Quadratic twists by: -4 8 -3 5 |