Atkin-Lehner |
2+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186d |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3129984 |
Modular degree for the optimal curve |
Δ |
-2.8919074349338E+19 |
Discriminant |
Eigenvalues |
2+ -1 -4 7+ 11- 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13360217,-18803475995] |
[a1,a2,a3,a4,a6] |
j |
-1230333411315962041/134909616128 |
j-invariant |
L |
0.078966577445279 |
L(r)(E,1)/r! |
Ω |
0.039483288723154 |
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 |
32186z1 |
Quadratic twists by: -11 |