Atkin-Lehner |
3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4005a |
Isogeny class |
Conductor |
4005 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-1501875 = -1 · 33 · 54 · 89 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 -2 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,12,-57] |
[a1,a2,a3,a4,a6] |
Generators |
[11:37:1] |
Generators of the group modulo torsion |
j |
7077888/55625 |
j-invariant |
L |
2.4211039001624 |
L(r)(E,1)/r! |
Ω |
1.332946592561 |
Real period |
R |
0.45408869223909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64080o1 4005b1 20025b1 |
Quadratic twists by: -4 -3 5 |