Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200q |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2995200 |
Modular degree for the optimal curve |
Δ |
-1.24411414347E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11- -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2165833,1239237037] |
[a1,a2,a3,a4,a6] |
Generators |
[1017:-9350:1] |
Generators of the group modulo torsion |
j |
-11235665791360000/124411414347 |
j-invariant |
L |
6.6329945497091 |
L(r)(E,1)/r! |
Ω |
0.2260279862181 |
Real period |
R |
0.20379096938819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999414949 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200co1 |
Quadratic twists by: 5 |