Atkin-Lehner |
2+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16576b |
Isogeny class |
Conductor |
16576 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-683457307918336 = -1 · 214 · 77 · 373 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -5 1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-131312,18358048] |
[a1,a2,a3,a4,a6] |
j |
-15283295882302464/41714923579 |
j-invariant |
L |
1.5341207749942 |
L(r)(E,1)/r! |
Ω |
0.51137359166474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16576o1 2072d1 116032g1 |
Quadratic twists by: -4 8 -7 |