Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960dh |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
513962496000 = 212 · 310 · 53 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -6 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-101892,-12518624] |
[a1,a2,a3,a4,a6] |
j |
39179284145344/172125 |
j-invariant |
L |
1.6033040804844 |
L(r)(E,1)/r! |
Ω |
0.26721734670924 |
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 |
48960dg2 24480bc1 16320y2 |
Quadratic twists by: -4 8 -3 |