Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11352l |
Isogeny class |
Conductor |
11352 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
5517072 = 24 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11+ 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:9:1] |
Generators of the group modulo torsion |
j |
602275072/344817 |
j-invariant |
L |
5.1587569724488 |
L(r)(E,1)/r! |
Ω |
2.0616322533955 |
Real period |
R |
0.20852235584823 |
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 |
22704h1 90816x1 34056j1 124872t1 |
Quadratic twists by: -4 8 -3 -11 |