Atkin-Lehner |
2- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9248g |
Isogeny class |
Conductor |
9248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-20123648 = -1 · 212 · 173 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,0] |
[a1,a2,a3,a4,a6] |
Generators |
[2:12:1] [16:72:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.7953484875916 |
L(r)(E,1)/r! |
Ω |
1.291308440929 |
Real period |
R |
1.8567788824107 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9248g2 18496k1 83232r2 9248f2 |
Quadratic twists by: -4 8 -3 17 |