Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9044f |
Isogeny class |
Conductor |
9044 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
68097123584 = 28 · 77 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 1 7- 2 -1 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1112,6788] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:98:1] |
Generators of the group modulo torsion |
j |
594015952896/266004389 |
j-invariant |
L |
4.7024039483561 |
L(r)(E,1)/r! |
Ω |
0.98666415225223 |
Real period |
R |
0.22695057586679 |
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 |
36176q1 81396m1 63308f1 |
Quadratic twists by: -4 -3 -7 |