Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112p |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2890432512 = -1 · 215 · 36 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353,3519] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:72:1] |
Generators of the group modulo torsion |
j |
-148877000/88209 |
j-invariant |
L |
3.4068852826916 |
L(r)(E,1)/r! |
Ω |
1.3245311824795 |
Real period |
R |
0.21434535528223 |
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 |
2112b2 1056a2 6336l2 52800bc2 |
Quadratic twists by: -4 8 -3 5 |