Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112g |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2878537728 = 216 · 3 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- -6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417,-1887] |
[a1,a2,a3,a4,a6] |
j |
122657188/43923 |
j-invariant |
L |
2.1753035413111 |
L(r)(E,1)/r! |
Ω |
1.0876517706555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2112y4 264c3 6336q4 52800di3 |
Quadratic twists by: -4 8 -3 5 |