Atkin-Lehner |
2- 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
47808be |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
6691590144 = 212 · 39 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2916,-60480] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:8:1] [70:280:1] |
Generators of the group modulo torsion |
j |
34012224/83 |
j-invariant |
L |
8.3463176312881 |
L(r)(E,1)/r! |
Ω |
0.64978003283248 |
Real period |
R |
6.4224177487463 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47808bj1 23904p1 47808bh1 |
Quadratic twists by: -4 8 -3 |