Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15912b |
Isogeny class |
Conductor |
15912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
536170752 = 28 · 36 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-855,-9558] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:8:1] [34:26:1] |
Generators of the group modulo torsion |
j |
370386000/2873 |
j-invariant |
L |
6.5147412439592 |
L(r)(E,1)/r! |
Ω |
0.88330593648228 |
Real period |
R |
3.6877037586231 |
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 |
31824a2 127296x2 1768c2 |
Quadratic twists by: -4 8 -3 |