Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160c |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-33868800 = -1 · 210 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,72,-152] |
[a1,a2,a3,a4,a6] |
Generators |
[9:35:1] |
Generators of the group modulo torsion |
j |
1492992/1225 |
j-invariant |
L |
4.1503493390071 |
L(r)(E,1)/r! |
Ω |
1.1467103578356 |
Real period |
R |
0.90483819881966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160cw1 2520n1 20160n1 100800w1 |
Quadratic twists by: -4 8 -3 5 |