Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5544y |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-158070528 = -1 · 28 · 36 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,754] |
[a1,a2,a3,a4,a6] |
Generators |
[5:18:1] |
Generators of the group modulo torsion |
j |
-810448/847 |
j-invariant |
L |
3.6457563000009 |
L(r)(E,1)/r! |
Ω |
1.655922440026 |
Real period |
R |
0.55041169379039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11088n1 44352ca1 616c1 38808cm1 |
Quadratic twists by: -4 8 -3 -7 |