Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160cu |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
70543872000 = 212 · 39 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31428,-2144448] |
[a1,a2,a3,a4,a6] |
j |
42581671488/875 |
j-invariant |
L |
0.71713496827122 |
L(r)(E,1)/r! |
Ω |
0.35856748413561 |
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 |
20160da1 10080e1 20160dg1 100800jw1 |
Quadratic twists by: -4 8 -3 5 |