Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544d |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-345203834122224 = -1 · 24 · 39 · 77 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7317,-860841] |
[a1,a2,a3,a4,a6] |
Generators |
[159:2079:1] |
Generators of the group modulo torsion |
j |
137566156032/1096135733 |
j-invariant |
L |
3.8781952117556 |
L(r)(E,1)/r! |
Ω |
0.26783427041515 |
Real period |
R |
0.17237895114981 |
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 |
11088b1 44352h1 5544m1 38808l1 |
Quadratic twists by: -4 8 -3 -7 |