Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11552a |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
28094464 = 212 · 193 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.7276182651362 |
L(r)(E,1)/r! |
Ω |
1.7761057400603 |
Real period |
R |
1.0493796008478 |
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 |
11552a2 23104z1 103968bk2 11552n2 |
Quadratic twists by: -4 8 -3 -19 |