Atkin-Lehner |
3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9345d |
Isogeny class |
Conductor |
9345 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-11683446075 = -1 · 37 · 52 · 74 · 89 |
Discriminant |
Eigenvalues |
0 3- 5- 7- 0 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,195,5159] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:52:1] |
Generators of the group modulo torsion |
j |
815827779584/11683446075 |
j-invariant |
L |
4.6775674777956 |
L(r)(E,1)/r! |
Ω |
0.94350337839429 |
Real period |
R |
0.088529614824565 |
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 |
28035d1 46725b1 65415a1 |
Quadratic twists by: -3 5 -7 |