Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352ey |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-9032698730094133248 = -1 · 217 · 38 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501684,-46933616] |
[a1,a2,a3,a4,a6] |
Generators |
[290:11088:1] |
Generators of the group modulo torsion |
j |
146142660369886/94532266521 |
j-invariant |
L |
5.6789562623392 |
L(r)(E,1)/r! |
Ω |
0.13219628687879 |
Real period |
R |
0.67122680745555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352y5 11088v6 14784cl6 |
Quadratic twists by: -4 8 -3 |