Atkin-Lehner |
5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
17225d |
Isogeny class |
Conductor |
17225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5568 |
Modular degree for the optimal curve |
Δ |
37843325 = 52 · 134 · 53 |
Discriminant |
Eigenvalues |
2 0 5+ -1 3 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-575,-5299] |
[a1,a2,a3,a4,a6] |
j |
840983040000/1513733 |
j-invariant |
L |
3.9002239159017 |
L(r)(E,1)/r! |
Ω |
0.97505597897542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17225i1 |
Quadratic twists by: 5 |