Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ew |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
444155421523968 = 221 · 36 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2974284,-1974338928] |
[a1,a2,a3,a4,a6] |
Generators |
[6229:470305:1] |
Generators of the group modulo torsion |
j |
15226621995131793/2324168 |
j-invariant |
L |
7.0690663794293 |
L(r)(E,1)/r! |
Ω |
0.11496190452134 |
Real period |
R |
7.6863140107806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352x4 11088br3 4928bb4 |
Quadratic twists by: -4 8 -3 |