Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
11088by |
Isogeny class |
Conductor |
11088 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-123927293952 = -1 · 212 · 36 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,501,16378] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:126:1] |
Generators of the group modulo torsion |
j |
4657463/41503 |
j-invariant |
L |
5.604754654509 |
L(r)(E,1)/r! |
Ω |
0.76545527616855 |
Real period |
R |
0.61017658695046 |
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 |
693a1 44352en1 1232i1 77616gs1 |
Quadratic twists by: -4 8 -3 -7 |