Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bw |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
327172608 = 29 · 34 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1696,26312] |
[a1,a2,a3,a4,a6] |
j |
3073924664/1863 |
j-invariant |
L |
6.7800686387303 |
L(r)(E,1)/r! |
Ω |
1.6950172130011 |
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 |
108192bm2 108192bi2 |
Quadratic twists by: -4 -7 |