Atkin-Lehner |
2+ 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186a |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-15941468312 = -1 · 23 · 74 · 112 · 193 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 11- 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2621,-52208] |
[a1,a2,a3,a4,a6] |
j |
-16447549116625/131747672 |
j-invariant |
L |
0.66695260698888 |
L(r)(E,1)/r! |
Ω |
0.33347630349626 |
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 |
32186w1 |
Quadratic twists by: -11 |