Atkin-Lehner |
3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11385j |
Isogeny class |
Conductor |
11385 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3682284705 = 37 · 5 · 114 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16583,826062] |
[a1,a2,a3,a4,a6] |
Generators |
[6:849:1] [50:321:1] |
Generators of the group modulo torsion |
j |
691768740750121/5051145 |
j-invariant |
L |
4.0152601225801 |
L(r)(E,1)/r! |
Ω |
1.254478244019 |
Real period |
R |
1.6003705690883 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795c3 56925t4 125235u4 |
Quadratic twists by: -3 5 -11 |