Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595m |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25076306025 = 38 · 52 · 172 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1148,-12594] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:51:1] |
Generators of the group modulo torsion |
j |
229333309561/34398225 |
j-invariant |
L |
2.7297673762397 |
L(r)(E,1)/r! |
Ω |
0.82848985196907 |
Real period |
R |
1.6474356141791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5865b2 87975t2 |
Quadratic twists by: -3 5 |