Atkin-Lehner |
2- 13+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
23998g |
Isogeny class |
Conductor |
23998 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19440 |
Modular degree for the optimal curve |
Δ |
-21933020096 = -1 · 26 · 136 · 71 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -6 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-201,-7159] |
[a1,a2,a3,a4,a6] |
j |
-185193/4544 |
j-invariant |
L |
1.5685350276324 |
L(r)(E,1)/r! |
Ω |
0.52284500921076 |
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 |
142c1 |
Quadratic twists by: 13 |