Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328bg |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
626082067943424 = 212 · 32 · 198 |
Discriminant |
Eigenvalues |
2- 3- -2 0 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37664,2530356] |
[a1,a2,a3,a4,a6] |
j |
30664297/3249 |
j-invariant |
L |
0.99594166905471 |
L(r)(E,1)/r! |
Ω |
0.49797083452735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1083b2 69312cp2 51984cr2 912g2 |
Quadratic twists by: -4 8 -3 -19 |