Atkin-Lehner |
2+ 7+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40936c |
Isogeny class |
Conductor |
40936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-2650032896 = -1 · 28 · 72 · 173 · 43 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 0 -5 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,268,1904] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:28:1] [8:68:1] |
Generators of the group modulo torsion |
j |
8284506032/10351691 |
j-invariant |
L |
8.5610825969956 |
L(r)(E,1)/r! |
Ω |
0.96573436920322 |
Real period |
R |
0.73873683333669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872l1 |
Quadratic twists by: -4 |