Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36784s |
Isogeny class |
Conductor |
36784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-2135329991032832 = -1 · 219 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 0 4 -1 11- 5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9317,-2196150] |
[a1,a2,a3,a4,a6] |
Generators |
[125:960:1] |
Generators of the group modulo torsion |
j |
101871/2432 |
j-invariant |
L |
7.5869724011055 |
L(r)(E,1)/r! |
Ω |
0.22459594349483 |
Real period |
R |
2.815045054928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598r1 36784bc1 |
Quadratic twists by: -4 -11 |