Atkin-Lehner |
2- 3+ 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9804b |
Isogeny class |
Conductor |
9804 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1488 |
Modular degree for the optimal curve |
Δ |
-627456 = -1 · 28 · 3 · 19 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 -2 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3,-39] |
[a1,a2,a3,a4,a6] |
j |
8192/2451 |
j-invariant |
L |
1.3558939027522 |
L(r)(E,1)/r! |
Ω |
1.3558939027522 |
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 |
39216bk1 29412e1 |
Quadratic twists by: -4 -3 |