Atkin-Lehner |
2+ 3+ 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43824g |
Isogeny class |
Conductor |
43824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1214523611136 = 211 · 310 · 112 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4432,101920] |
[a1,a2,a3,a4,a6] |
Generators |
[60:220:1] |
Generators of the group modulo torsion |
j |
4702090698146/593029107 |
j-invariant |
L |
5.8482187184161 |
L(r)(E,1)/r! |
Ω |
0.83340666896871 |
Real period |
R |
1.7543112312897 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21912d2 |
Quadratic twists by: -4 |