Atkin-Lehner |
3- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11223d |
Isogeny class |
Conductor |
11223 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
1928888963109 = 37 · 295 · 43 |
Discriminant |
Eigenvalues |
0 3- -3 -2 5 -2 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5844,158440] |
[a1,a2,a3,a4,a6] |
Generators |
[250:-3785:1] |
Generators of the group modulo torsion |
j |
30277973573632/2645938221 |
j-invariant |
L |
2.356537958549 |
L(r)(E,1)/r! |
Ω |
0.81063637722492 |
Real period |
R |
0.14535111085294 |
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 |
3741a1 |
Quadratic twists by: -3 |