Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8712l |
Isogeny class |
Conductor |
8712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-3636773800704 = -1 · 28 · 36 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 11- 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4356,143748] |
[a1,a2,a3,a4,a6] |
Generators |
[22:242:1] |
Generators of the group modulo torsion |
j |
-27648/11 |
j-invariant |
L |
5.4970558588699 |
L(r)(E,1)/r! |
Ω |
0.74027037301284 |
Real period |
R |
0.92821759104333 |
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 |
17424w1 69696dg1 968e1 792f1 |
Quadratic twists by: -4 8 -3 -11 |