Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352dz |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4896392675328 = -1 · 216 · 36 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3924,-48816] |
[a1,a2,a3,a4,a6] |
Generators |
[21:207:1] [34:352:1] |
Generators of the group modulo torsion |
j |
139863132/102487 |
j-invariant |
L |
8.3194737921413 |
L(r)(E,1)/r! |
Ω |
0.43158577241824 |
Real period |
R |
2.4095655845903 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352cc3 11088l4 4928s4 |
Quadratic twists by: -4 8 -3 |