Atkin-Lehner |
2+ 3- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966j |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.4040225069538E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-619956,-400336560] |
[a1,a2,a3,a4,a6] |
Generators |
[3556758815:-809667009225:68921] |
Generators of the group modulo torsion |
j |
-36147576072761084737/74129252495937408 |
j-invariant |
L |
5.2204547683291 |
L(r)(E,1)/r! |
Ω |
0.079858582846325 |
Real period |
R |
16.34281057295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322k4 |
Quadratic twists by: -3 |