Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024p |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
-1.4394978724033E+27 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,281686768,144640054512] |
[a1,a2,a3,a4,a6] |
Generators |
[115946:-21572985:8] |
Generators of the group modulo torsion |
j |
2413921231069398499073752508/1405759641018889747333743 |
j-invariant |
L |
7.6795522487264 |
L(r)(E,1)/r! |
Ω |
0.028909771903279 |
Real period |
R |
4.4273105269383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048f3 72072br3 |
Quadratic twists by: -4 -3 |