Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856v |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-79976595456 = -1 · 217 · 39 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 -5 -1 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164,20464] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:144:1] [-19:189:1] |
Generators of the group modulo torsion |
j |
-1825346/837 |
j-invariant |
L |
6.373422348383 |
L(r)(E,1)/r! |
Ω |
1.0128589377867 |
Real period |
R |
0.39328171171043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856ci1 2232d1 5952n1 |
Quadratic twists by: -4 8 -3 |