Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720g |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
87362000 = 24 · 53 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 11+ -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-111,-10] |
[a1,a2,a3,a4,a6] |
j |
9538484224/5460125 |
j-invariant |
L |
1.5933823881108 |
L(r)(E,1)/r! |
Ω |
1.5933823881108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360k1 66880dl1 83600l1 |
Quadratic twists by: -4 8 5 |