Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200co |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-796233051820800 = -1 · 28 · 35 · 52 · 116 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86633,9879243] |
[a1,a2,a3,a4,a6] |
Generators |
[577:-12342:1] |
Generators of the group modulo torsion |
j |
-11235665791360000/124411414347 |
j-invariant |
L |
9.0187371066344 |
L(r)(E,1)/r! |
Ω |
0.50541394200105 |
Real period |
R |
0.14870215572492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200q1 |
Quadratic twists by: 5 |