Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8712r |
Isogeny class |
Conductor |
8712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-248396544 = -1 · 28 · 36 · 113 |
Discriminant |
Eigenvalues |
2- 3- -1 -4 11+ -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,484] |
[a1,a2,a3,a4,a6] |
Generators |
[0:22:1] |
Generators of the group modulo torsion |
j |
1024 |
j-invariant |
L |
3.3805394514636 |
L(r)(E,1)/r! |
Ω |
1.1531041951604 |
Real period |
R |
0.73292150563061 |
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 |
17424g1 69696ba1 968a1 8712d1 |
Quadratic twists by: -4 8 -3 -11 |