Atkin-Lehner |
3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5439d |
Isogeny class |
Conductor |
5439 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-274239819 = -1 · 32 · 77 · 37 |
Discriminant |
Eigenvalues |
-2 3+ -1 7- -3 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-16,-792] |
[a1,a2,a3,a4,a6] |
Generators |
[19:73:1] |
Generators of the group modulo torsion |
j |
-4096/2331 |
j-invariant |
L |
1.5039477522857 |
L(r)(E,1)/r! |
Ω |
0.78210290034758 |
Real period |
R |
0.24036922629 |
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 |
87024ed1 16317n1 777f1 |
Quadratic twists by: -4 -3 -7 |