Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186q |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
2560896 |
Modular degree for the optimal curve |
Δ |
-3.0668577682195E+22 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2938933,8645722273] |
[a1,a2,a3,a4,a6] |
Generators |
[10972446:559464275:4913] |
Generators of the group modulo torsion |
j |
-23201037565723891641625/253459319687565565952 |
j-invariant |
L |
10.308296334595 |
L(r)(E,1)/r! |
Ω |
0.099940188813079 |
Real period |
R |
3.9671021303302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186m1 |
Quadratic twists by: -11 |