Atkin-Lehner |
2+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600x |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15859712000 = 220 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6753,215777] |
[a1,a2,a3,a4,a6] |
j |
1039509197/484 |
j-invariant |
L |
2.4441473069367 |
L(r)(E,1)/r! |
Ω |
1.2220736534684 |
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 |
17600di2 550g2 17600z2 |
Quadratic twists by: -4 8 5 |