Atkin-Lehner |
3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3825i |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3291890625 = 36 · 56 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1280,17722] |
[a1,a2,a3,a4,a6] |
Generators |
[4:110:1] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
1.9588270668444 |
L(r)(E,1)/r! |
Ω |
1.4178935836522 |
Real period |
R |
0.69075249702407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61200fz2 425a2 153c2 65025bo2 |
Quadratic twists by: -4 -3 5 17 |