Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2112c |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5947392 = 214 · 3 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,-47] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:8:1] |
Generators of the group modulo torsion |
j |
810448/363 |
j-invariant |
L |
2.2685201891135 |
L(r)(E,1)/r! |
Ω |
1.8783083603505 |
Real period |
R |
0.6038732076692 |
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 |
2112bc2 132a2 6336ba2 52800cd2 |
Quadratic twists by: -4 8 -3 5 |