Atkin-Lehner |
5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17225a |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
245705205078125 = 510 · 132 · 533 |
Discriminant |
Eigenvalues |
0 2 5+ 1 -3 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17083,417818] |
[a1,a2,a3,a4,a6] |
Generators |
[288:4393:1] |
Generators of the group modulo torsion |
j |
56460083200/25160213 |
j-invariant |
L |
5.786144567105 |
L(r)(E,1)/r! |
Ω |
0.49884084378816 |
Real period |
R |
5.7995898282561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17225k1 |
Quadratic twists by: 5 |