Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
2112w |
Isogeny class |
Conductor |
2112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
116785152 = 217 · 34 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1889,-30975] |
[a1,a2,a3,a4,a6] |
Generators |
[56:189:1] |
Generators of the group modulo torsion |
j |
5690357426/891 |
j-invariant |
L |
2.3845318590158 |
L(r)(E,1)/r! |
Ω |
0.72414658760593 |
Real period |
R |
3.2928855839799 |
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 |
2112m3 528d3 6336bz3 52800gr4 |
Quadratic twists by: -4 8 -3 5 |