Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280f |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
33489000000 = 26 · 32 · 56 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5086,141040] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:488:1] [16:252:1] |
Generators of the group modulo torsion |
j |
227383105214656/523265625 |
j-invariant |
L |
6.5579881736 |
L(r)(E,1)/r! |
Ω |
1.1680587909606 |
Real period |
R |
5.6144333010908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29280n1 58560dt2 87840bt1 |
Quadratic twists by: -4 8 -3 |