Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960fg |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5393433600000000 = -1 · 216 · 36 · 58 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-126732,-17720944] |
[a1,a2,a3,a4,a6] |
j |
-4711672753924/112890625 |
j-invariant |
L |
2.0214029363384 |
L(r)(E,1)/r! |
Ω |
0.1263376835675 |
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 |
48960co2 12240h2 5440s2 |
Quadratic twists by: -4 8 -3 |