Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960eo |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-4758912000 = -1 · 210 · 37 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260148,-51071528] |
[a1,a2,a3,a4,a6] |
Generators |
[266933:137912175:1] |
Generators of the group modulo torsion |
j |
-2608300961238784/6375 |
j-invariant |
L |
2.4093186888691 |
L(r)(E,1)/r! |
Ω |
0.10569743204309 |
Real period |
R |
11.397243255304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998216 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960bu2 12240cd2 16320dd2 |
Quadratic twists by: -4 8 -3 |