Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44044c |
Isogeny class |
Conductor |
44044 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
18073805461712 = 24 · 73 · 117 · 132 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-151653,-22781024] |
[a1,a2,a3,a4,a6] |
Generators |
[8400:769076:1] |
Generators of the group modulo torsion |
j |
13608288256000/637637 |
j-invariant |
L |
2.9346319392783 |
L(r)(E,1)/r! |
Ω |
0.24192891936281 |
Real period |
R |
6.0650705732307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4004b1 |
Quadratic twists by: -11 |