Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552cw |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
114229248 = 216 · 3 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-148737,-22128513] |
[a1,a2,a3,a4,a6] |
Generators |
[25920393649810:967298250298341:17273551625] |
Generators of the group modulo torsion |
j |
5552694170037508/1743 |
j-invariant |
L |
11.264102845107 |
L(r)(E,1)/r! |
Ω |
0.24310537268876 |
Real period |
R |
23.167120236031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000166533 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552y4 27888b4 |
Quadratic twists by: -4 8 |