Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112f |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4317806592 = -1 · 215 · 32 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,223,2817] |
[a1,a2,a3,a4,a6] |
j |
37259704/131769 |
j-invariant |
L |
1.9619904636908 |
L(r)(E,1)/r! |
Ω |
0.98099523184538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2112k4 1056i4 6336p4 52800cr3 |
Quadratic twists by: -4 8 -3 5 |