Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912b |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
43821648 = 24 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90,81] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:17:1] [-3:18:1] |
Generators of the group modulo torsion |
j |
6912000/3757 |
j-invariant |
L |
6.5147412439592 |
L(r)(E,1)/r! |
Ω |
1.7666118729646 |
Real period |
R |
0.92192593965579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31824a1 127296x1 1768c1 |
Quadratic twists by: -4 8 -3 |