Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44528p |
Isogeny class |
Conductor |
44528 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1154941642633328 = -1 · 24 · 1112 · 23 |
Discriminant |
Eigenvalues |
2- -1 0 -4 11- -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275678,-55644521] |
[a1,a2,a3,a4,a6] |
Generators |
[1022713095:31047805151:857375] |
Generators of the group modulo torsion |
j |
-81743931616000/40745903 |
j-invariant |
L |
2.9210555628448 |
L(r)(E,1)/r! |
Ω |
0.10417317859901 |
Real period |
R |
14.020190235698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11132g2 4048j2 |
Quadratic twists by: -4 -11 |