Atkin-Lehner |
2- 3- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
116928dm |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
163002286669824 = 216 · 36 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18156,713680] |
[a1,a2,a3,a4,a6] |
Generators |
[108:112:1] |
Generators of the group modulo torsion |
j |
13854050788/3411821 |
j-invariant |
L |
4.488673840781 |
L(r)(E,1)/r! |
Ω |
0.53893212312727 |
Real period |
R |
4.1644148102378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928cc2 29232g2 12992bf2 |
Quadratic twists by: -4 8 -3 |