Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595m |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1404568152765 = 310 · 5 · 17 · 234 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4973,123576] |
[a1,a2,a3,a4,a6] |
Generators |
[68:276:1] |
Generators of the group modulo torsion |
j |
18653901818761/1926705285 |
j-invariant |
L |
2.7297673762397 |
L(r)(E,1)/r! |
Ω |
0.82848985196907 |
Real period |
R |
0.82371780708957 |
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 |
5865b3 87975t4 |
Quadratic twists by: -3 5 |