Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
44616s |
Isogeny class |
Conductor |
44616 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2228871611241310464 = 28 · 36 · 114 · 138 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11+ 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-745684,-237457024] |
[a1,a2,a3,a4,a6] |
Generators |
[-529:3042:1] |
Generators of the group modulo torsion |
j |
37109806448848/1803785841 |
j-invariant |
L |
4.2992351916839 |
L(r)(E,1)/r! |
Ω |
0.16295521196329 |
Real period |
R |
2.1985771120235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999875 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
89232k2 3432e2 |
Quadratic twists by: -4 13 |