Atkin-Lehner |
5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
17225b |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
37843325 = 52 · 134 · 53 |
Discriminant |
Eigenvalues |
0 0 5+ -1 -5 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4580,119301] |
[a1,a2,a3,a4,a6] |
Generators |
[39:0:1] [189:2450:1] |
Generators of the group modulo torsion |
j |
424991395676160/1513733 |
j-invariant |
L |
5.6770004807051 |
L(r)(E,1)/r! |
Ω |
1.7967595124795 |
Real period |
R |
1.5797886253772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17225j1 |
Quadratic twists by: 5 |