Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960em |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
194163609600 = 212 · 38 · 52 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3108,-63232] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:56:1] |
Generators of the group modulo torsion |
j |
1111934656/65025 |
j-invariant |
L |
6.4046298810084 |
L(r)(E,1)/r! |
Ω |
0.64174560491201 |
Real period |
R |
2.4950034063425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999459 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48960en2 24480p1 16320cg2 |
Quadratic twists by: -4 8 -3 |