Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960bp |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-34517975040000 = -1 · 218 · 36 · 54 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,284848] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:544:1] [24:500:1] |
Generators of the group modulo torsion |
j |
-4826809/180625 |
j-invariant |
L |
8.8830659584639 |
L(r)(E,1)/r! |
Ω |
0.54418046230041 |
Real period |
R |
2.0404687814665 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960ee2 765c2 5440o2 |
Quadratic twists by: -4 8 -3 |