Atkin-Lehner |
3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
3825i |
Isogeny class |
Conductor |
3825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
193640625 = 36 · 56 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20405,1126972] |
[a1,a2,a3,a4,a6] |
Generators |
[85:-7:1] |
Generators of the group modulo torsion |
j |
82483294977/17 |
j-invariant |
L |
1.9588270668444 |
L(r)(E,1)/r! |
Ω |
1.4178935836522 |
Real period |
R |
1.3815049940481 |
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 |
61200fz4 425a3 153c3 65025bo4 |
Quadratic twists by: -4 -3 5 17 |