Atkin-Lehner |
3+ 5- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
17085b |
Isogeny class |
Conductor |
17085 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
430905980975625 = 312 · 54 · 172 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6919425,-7008608658] |
[a1,a2,a3,a4,a6] |
j |
36638166765697694609677201/430905980975625 |
j-invariant |
L |
1.6755390663837 |
L(r)(E,1)/r! |
Ω |
0.093085503687981 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51255c4 85425k4 |
Quadratic twists by: -3 5 |