Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19992m |
Isogeny class |
Conductor |
19992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
-1279509111552 = -1 · 28 · 3 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 4 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2287,-33741] |
[a1,a2,a3,a4,a6] |
j |
896000/867 |
j-invariant |
L |
3.7540645830168 |
L(r)(E,1)/r! |
Ω |
0.4692580728771 |
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 |
39984a1 59976bd1 19992g1 |
Quadratic twists by: -4 -3 -7 |