Atkin-Lehner |
2+ 23- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
78016h |
Isogeny class |
Conductor |
78016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-79888384 = -1 · 216 · 23 · 53 |
Discriminant |
Eigenvalues |
2+ -2 3 2 -4 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-769,-8481] |
[a1,a2,a3,a4,a6] |
j |
-768400132/1219 |
j-invariant |
L |
0.90642022036708 |
L(r)(E,1)/r! |
Ω |
0.45321014700233 |
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 |
78016n1 9752c1 |
Quadratic twists by: -4 8 |