Atkin-Lehner |
3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17325bk |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
540280125 = 36 · 53 · 72 · 112 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11750,493152] |
[a1,a2,a3,a4,a6] |
Generators |
[60:8:1] |
Generators of the group modulo torsion |
j |
1968634623437/5929 |
j-invariant |
L |
2.5883093512178 |
L(r)(E,1)/r! |
Ω |
1.4319529590205 |
Real period |
R |
0.45188449364081 |
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 |
1925h2 17325bq2 121275fy2 |
Quadratic twists by: -3 5 -7 |