Atkin-Lehner |
2- 7+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
9086d |
Isogeny class |
Conductor |
9086 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
145376 = 25 · 7 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 11+ 1 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16,19] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
426957777/145376 |
j-invariant |
L |
7.1949178600732 |
L(r)(E,1)/r! |
Ω |
3.0001266043955 |
Real period |
R |
0.47964094912075 |
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 |
72688f1 81774p1 63602m1 99946e1 |
Quadratic twists by: -4 -3 -7 -11 |