Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400fz |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1536064819200000000 = -1 · 218 · 37 · 58 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 3 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-244875,-75703750] |
[a1,a2,a3,a4,a6] |
j |
-1392225385/1316928 |
j-invariant |
L |
2.4793231015217 |
L(r)(E,1)/r! |
Ω |
0.10330512978224 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8550bm2 22800cl2 68400eh2 |
Quadratic twists by: -4 -3 5 |