Atkin-Lehner |
2- 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570s |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-553017504600000 = -1 · 26 · 312 · 55 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,18067,632981] |
[a1,a2,a3,a4,a6] |
j |
894698795996279/758597400000 |
j-invariant |
L |
4.0369822219656 |
L(r)(E,1)/r! |
Ω |
0.33641518517012 |
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 |
14190j1 |
Quadratic twists by: -3 |