Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
5175j |
Isogeny class |
Conductor |
5175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-11789296875 = -1 · 38 · 57 · 23 |
Discriminant |
Eigenvalues |
0 3- 5+ 3 4 0 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,-5594] |
[a1,a2,a3,a4,a6] |
Generators |
[70:562:1] |
Generators of the group modulo torsion |
j |
-262144/1035 |
j-invariant |
L |
3.5759011584375 |
L(r)(E,1)/r! |
Ω |
0.52371145691805 |
Real period |
R |
1.7069996804543 |
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 |
82800dk1 1725a1 1035d1 119025x1 |
Quadratic twists by: -4 -3 5 -23 |