Atkin-Lehner |
3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111909g |
Isogeny class |
Conductor |
111909 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
3068928 |
Modular degree for the optimal curve |
Δ |
-5.2208771406838E+20 |
Discriminant |
Eigenvalues |
0 3- 1 7- 0 -4 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1232775,-1219464133] |
[a1,a2,a3,a4,a6] |
Generators |
[13770:335723:8] |
Generators of the group modulo torsion |
j |
-1369110052864/3449898459 |
j-invariant |
L |
6.5686116577927 |
L(r)(E,1)/r! |
Ω |
0.066706583135619 |
Real period |
R |
0.6838209435331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1533b1 |
Quadratic twists by: 73 |