Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960bx |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
269343759237120 = 215 · 39 · 5 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55308,-4943792] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:216:1] |
Generators of the group modulo torsion |
j |
783267508232/11275335 |
j-invariant |
L |
5.6612832007847 |
L(r)(E,1)/r! |
Ω |
0.31158829770536 |
Real period |
R |
1.1355696046861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bv4 24480bi3 16320bg3 |
Quadratic twists by: -4 8 -3 |