Atkin-Lehner |
2+ 3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24024n |
Isogeny class |
Conductor |
24024 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-7.719989494316E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,539408,394454000] |
[a1,a2,a3,a4,a6] |
Generators |
[196484:-11267655:64] |
Generators of the group modulo torsion |
j |
16950210658206622268/75390522405429231 |
j-invariant |
L |
7.6957562742266 |
L(r)(E,1)/r! |
Ω |
0.13842414292825 |
Real period |
R |
9.2659128571903 |
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 |
48048d1 72072bo1 |
Quadratic twists by: -4 -3 |