Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186i |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4371840 |
Modular degree for the optimal curve |
Δ |
-5.6393486011313E+21 |
Discriminant |
Eigenvalues |
2+ 0 4 7- 11- 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-23574755,44211197333] |
[a1,a2,a3,a4,a6] |
Generators |
[80418:506911:27] |
Generators of the group modulo torsion |
j |
-55864824019116849/217421300992 |
j-invariant |
L |
5.6440758935853 |
L(r)(E,1)/r! |
Ω |
0.13583360645726 |
Real period |
R |
6.9252325704351 |
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 |
32186t1 |
Quadratic twists by: -11 |