Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576dp |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
671514624 = 215 · 34 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -5 11- 3 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737,7359] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-24:1] [-14:123:1] |
Generators of the group modulo torsion |
j |
1352899016/20493 |
j-invariant |
L |
8.4793288776252 |
L(r)(E,1)/r! |
Ω |
1.6180382081059 |
Real period |
R |
0.3275312364051 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48576cl1 24288b1 |
Quadratic twists by: -4 8 |