Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
80724p |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-2087408657712 = -1 · 24 · 3 · 72 · 316 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -2 6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1281,71292] |
[a1,a2,a3,a4,a6] |
j |
-16384/147 |
j-invariant |
L |
5.6490799155014 |
L(r)(E,1)/r! |
Ω |
0.70613498460934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84b1 |
Quadratic twists by: -31 |