Atkin-Lehner |
2+ 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960n |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
465992663040 = 214 · 39 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2268,-25488] |
[a1,a2,a3,a4,a6] |
j |
4000752/1445 |
j-invariant |
L |
1.4252442355554 |
L(r)(E,1)/r! |
Ω |
0.71262211745 |
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 |
48960dq2 3060f2 48960s2 |
Quadratic twists by: -4 8 -3 |