Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40050z |
Isogeny class |
Conductor |
40050 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
104832 |
Modular degree for the optimal curve |
Δ |
-41523840000000 = -1 · 213 · 36 · 57 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2770,-305603] |
[a1,a2,a3,a4,a6] |
Generators |
[89:755:1] |
Generators of the group modulo torsion |
j |
206425071/3645440 |
j-invariant |
L |
8.8313794161045 |
L(r)(E,1)/r! |
Ω |
0.3136911679539 |
Real period |
R |
1.0828116114855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4450d1 8010g1 |
Quadratic twists by: -3 5 |