Atkin-Lehner |
2+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44206d |
Isogeny class |
Conductor |
44206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2490823924512493568 = -1 · 212 · 23 · 319 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 0 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-509830,159155732] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:14959:1] [1148:32418:1] |
Generators of the group modulo torsion |
j |
-16513192419625/2806550528 |
j-invariant |
L |
5.6169247893217 |
L(r)(E,1)/r! |
Ω |
0.24777746242768 |
Real period |
R |
2.8336540046295 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1426c2 |
Quadratic twists by: -31 |