Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160ee |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
321052999680 = 222 · 37 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,-22192] |
[a1,a2,a3,a4,a6] |
j |
4826809/1680 |
j-invariant |
L |
2.9268152984983 |
L(r)(E,1)/r! |
Ω |
0.73170382462456 |
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 |
20160bf1 5040bo1 6720bv1 100800lx1 |
Quadratic twists by: -4 8 -3 5 |