Atkin-Lehner |
2- 3+ 29+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44892b |
Isogeny class |
Conductor |
44892 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
11618086950144 = 28 · 39 · 29 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 5 6 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39744,-3045276] |
[a1,a2,a3,a4,a6] |
j |
1377866612736/2305703 |
j-invariant |
L |
2.0289743760743 |
L(r)(E,1)/r! |
Ω |
0.33816239598631 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44892d1 |
Quadratic twists by: -3 |