Atkin-Lehner |
3- 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17595m |
Isogeny class |
Conductor |
17595 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
4275585 = 37 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1103,-13818] |
[a1,a2,a3,a4,a6] |
Generators |
[62:360:1] |
Generators of the group modulo torsion |
j |
203401212841/5865 |
j-invariant |
L |
2.7297673762397 |
L(r)(E,1)/r! |
Ω |
0.82848985196907 |
Real period |
R |
3.2948712283583 |
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 |
5865b1 87975t1 |
Quadratic twists by: -3 5 |