Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2112a |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-142737408 = -1 · 217 · 32 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,129] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
1714750/1089 |
j-invariant |
L |
2.7503978874583 |
L(r)(E,1)/r! |
Ω |
1.1422157718048 |
Real period |
R |
0.60198737299704 |
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 |
2112ba2 264a2 6336w2 52800cf2 |
Quadratic twists by: -4 8 -3 5 |