Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232bn |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-5120577511391232 = -1 · 215 · 36 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42753,-4854753] |
[a1,a2,a3,a4,a6] |
Generators |
[1074:34485:1] |
Generators of the group modulo torsion |
j |
-148877000/88209 |
j-invariant |
L |
7.3283392539317 |
L(r)(E,1)/r! |
Ω |
0.1616172598055 |
Real period |
R |
3.7786492517109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23232h2 11616q2 69696bk2 2112p2 |
Quadratic twists by: -4 8 -3 -11 |