Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120bf |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
-4.1978451216297E+24 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11660056,99756266644] |
[a1,a2,a3,a4,a6] |
Generators |
[-70195658762991:-9486714631484684:28177720507] |
Generators of the group modulo torsion |
j |
-151525354918441/3628156928000 |
j-invariant |
L |
5.5981900352677 |
L(r)(E,1)/r! |
Ω |
0.065331648206128 |
Real period |
R |
21.422198080802 |
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 |
5390h1 43120cb1 |
Quadratic twists by: -4 -7 |