Atkin-Lehner |
5- 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17225k |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
15725133125 = 54 · 132 · 533 |
Discriminant |
Eigenvalues |
0 -2 5- -1 -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-683,3069] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:84:1] [3:32:1] |
Generators of the group modulo torsion |
j |
56460083200/25160213 |
j-invariant |
L |
4.2471594343102 |
L(r)(E,1)/r! |
Ω |
1.1154420366637 |
Real period |
R |
1.9038010468991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17225a1 |
Quadratic twists by: 5 |