Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9248a |
Isogeny class |
Conductor |
9248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-3571587809792 = -1 · 29 · 178 |
Discriminant |
Eigenvalues |
2+ 0 0 2 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1445,88434] |
[a1,a2,a3,a4,a6] |
Generators |
[-6930:77454:343] |
Generators of the group modulo torsion |
j |
27000/289 |
j-invariant |
L |
4.7291053731078 |
L(r)(E,1)/r! |
Ω |
0.58138166926184 |
Real period |
R |
8.1342526315151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9248d2 18496a2 83232bc2 544a2 |
Quadratic twists by: -4 8 -3 17 |