Atkin-Lehner |
3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8619m |
Isogeny class |
Conductor |
8619 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5714397 = 32 · 133 · 172 |
Discriminant |
Eigenvalues |
1 3- 0 4 -2 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-56,-115] |
[a1,a2,a3,a4,a6] |
j |
8615125/2601 |
j-invariant |
L |
3.5797967718089 |
L(r)(E,1)/r! |
Ω |
1.7898983859045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25857s2 8619n2 |
Quadratic twists by: -3 13 |