Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bt |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
437926533154209792 = 221 · 318 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-209100,-18458512] |
[a1,a2,a3,a4,a6] |
Generators |
[1966:84672:1] |
Generators of the group modulo torsion |
j |
5290763640625/2291573592 |
j-invariant |
L |
5.6233263755801 |
L(r)(E,1)/r! |
Ω |
0.23223452135547 |
Real period |
R |
3.0267498253246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ds2 1386d2 14784r2 |
Quadratic twists by: -4 8 -3 |