Atkin-Lehner |
3+ 11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
80223d |
Isogeny class |
Conductor |
80223 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
2855318756433 = 3 · 117 · 132 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 0 4 11- 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13373,584090] |
[a1,a2,a3,a4,a6] |
j |
149298747625/1611753 |
j-invariant |
L |
1.6160580399178 |
L(r)(E,1)/r! |
Ω |
0.80802905912249 |
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 |
7293a1 |
Quadratic twists by: -11 |