Atkin-Lehner |
3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
46725c |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
146015625 = 3 · 57 · 7 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4875,129000] |
[a1,a2,a3,a4,a6] |
Generators |
[-490:3845:8] [20:190:1] |
Generators of the group modulo torsion |
j |
820288712881/9345 |
j-invariant |
L |
9.5887626032965 |
L(r)(E,1)/r! |
Ω |
1.663167392557 |
Real period |
R |
5.7653623118198 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9345g1 |
Quadratic twists by: 5 |