Atkin-Lehner |
2- 3- 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688be |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
589157712 = 24 · 34 · 112 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11- 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-473,3630] |
[a1,a2,a3,a4,a6] |
Generators |
[22:66:1] |
Generators of the group modulo torsion |
j |
733001728000/36822357 |
j-invariant |
L |
6.956330771915 |
L(r)(E,1)/r! |
Ω |
1.6112574515854 |
Real period |
R |
1.0793325975794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013742 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29172a1 |
Quadratic twists by: -4 |