Atkin-Lehner |
2- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111476b |
Isogeny class |
Conductor |
111476 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4550400 |
Modular degree for the optimal curve |
Δ |
-1.4446472381702E+20 |
Discriminant |
Eigenvalues |
2- -3 2 -1 1 -2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-407464,-586882700] |
[a1,a2,a3,a4,a6] |
Generators |
[61114144:2349409555:32768] |
Generators of the group modulo torsion |
j |
-32929210368/635845619 |
j-invariant |
L |
3.3034310054291 |
L(r)(E,1)/r! |
Ω |
0.07907166125751 |
Real period |
R |
10.444421291139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000108901 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3596b1 |
Quadratic twists by: -31 |