Atkin-Lehner |
13+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
9503a |
Isogeny class |
Conductor |
9503 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
43847394228833 = 136 · 173 · 432 |
Discriminant |
Eigenvalues |
1 -2 2 0 6 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24235,-1418751] |
[a1,a2,a3,a4,a6] |
Generators |
[-39294521:63659265:493039] |
Generators of the group modulo torsion |
j |
1574080808160935593/43847394228833 |
j-invariant |
L |
4.2939467579374 |
L(r)(E,1)/r! |
Ω |
0.38329217548318 |
Real period |
R |
11.202803064071 |
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 |
85527d2 123539d2 |
Quadratic twists by: -3 13 |