Atkin-Lehner |
3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2001c |
Isogeny class |
Conductor |
2001 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
128 |
Modular degree for the optimal curve |
Δ |
-54027 = -1 · 34 · 23 · 29 |
Discriminant |
Eigenvalues |
0 3- 0 0 -4 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,7,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
32768000/54027 |
j-invariant |
L |
2.9747002571461 |
L(r)(E,1)/r! |
Ω |
1.8649369746718 |
Real period |
R |
0.39876686150073 |
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 |
32016l1 128064r1 6003a1 50025a1 |
Quadratic twists by: -4 8 -3 5 |