Atkin-Lehner |
3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10143m |
Isogeny class |
Conductor |
10143 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-2029826785707 = -1 · 37 · 79 · 23 |
Discriminant |
Eigenvalues |
0 3- 0 7- -5 -4 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10290,-407570] |
[a1,a2,a3,a4,a6] |
Generators |
[2450:40127:8] |
Generators of the group modulo torsion |
j |
-4096000/69 |
j-invariant |
L |
3.0957140895239 |
L(r)(E,1)/r! |
Ω |
0.23677255613759 |
Real period |
R |
3.2686580531371 |
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 |
3381e1 10143l1 |
Quadratic twists by: -3 -7 |