Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
17346bf |
Isogeny class |
Conductor |
17346 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
960363871154184 = 23 · 3 · 714 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-372499,87461849] |
[a1,a2,a3,a4,a6] |
Generators |
[628:9751:1] |
Generators of the group modulo torsion |
j |
48585970090762273/8162958216 |
j-invariant |
L |
8.1722310056088 |
L(r)(E,1)/r! |
Ω |
0.47978062418917 |
Real period |
R |
5.6777553417738 |
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 |
52038m4 2478e3 |
Quadratic twists by: -3 -7 |