Atkin-Lehner |
3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
15975m |
Isogeny class |
Conductor |
15975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-7278609375 = -1 · 38 · 56 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,108,-4109] |
[a1,a2,a3,a4,a6] |
Generators |
[194:2603:1] |
Generators of the group modulo torsion |
j |
12167/639 |
j-invariant |
L |
5.2144574952516 |
L(r)(E,1)/r! |
Ω |
0.63321939146376 |
Real period |
R |
2.0587088636048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5325a1 639a1 |
Quadratic twists by: -3 5 |