Atkin-Lehner |
41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72283b |
Isogeny class |
Conductor |
72283 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
139120 |
Modular degree for the optimal curve |
Δ |
-204254482363 = -1 · 416 · 43 |
Discriminant |
Eigenvalues |
-2 2 -4 0 -3 5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-560,22522] |
[a1,a2,a3,a4,a6] |
Generators |
[10:133:1] |
Generators of the group modulo torsion |
j |
-4096/43 |
j-invariant |
L |
3.2197755315932 |
L(r)(E,1)/r! |
Ω |
0.85406581649587 |
Real period |
R |
3.769938418139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949255 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43a1 |
Quadratic twists by: 41 |