Atkin-Lehner |
5+ 13- 53- |
Signs for the Atkin-Lehner involutions |
Class |
17225f |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
269140625 = 58 · 13 · 53 |
Discriminant |
Eigenvalues |
-1 2 5+ 2 2 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8963,-330344] |
[a1,a2,a3,a4,a6] |
Generators |
[1256745:8513597:9261] |
Generators of the group modulo torsion |
j |
5096439860329/17225 |
j-invariant |
L |
4.7745361021888 |
L(r)(E,1)/r! |
Ω |
0.49066608594412 |
Real period |
R |
9.7307236814663 |
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 |
3445a1 |
Quadratic twists by: 5 |