Atkin-Lehner |
2- 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24966i |
Isogeny class |
Conductor |
24966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
9586944 = 28 · 33 · 19 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-71,191] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:10:1] [-5:22:1] |
Generators of the group modulo torsion |
j |
1446731091/355072 |
j-invariant |
L |
9.4788643661117 |
L(r)(E,1)/r! |
Ω |
2.1585092640238 |
Real period |
R |
1.0978484693231 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24966b1 |
Quadratic twists by: -3 |