Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952o |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
9478656 = 29 · 32 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-192,1080] |
[a1,a2,a3,a4,a6] |
j |
1536800264/18513 |
j-invariant |
L |
2.3108983735832 |
L(r)(E,1)/r! |
Ω |
2.3108983735832 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17952r2 35904co2 53856g2 |
Quadratic twists by: -4 8 -3 |