Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960dw |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-669222000000000 = -1 · 210 · 39 · 59 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 4 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2268,-1243944] |
[a1,a2,a3,a4,a6] |
j |
64012032/33203125 |
j-invariant |
L |
4.299742647908 |
L(r)(E,1)/r! |
Ω |
0.23887459156314 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960w2 12240bd2 48960dk1 |
Quadratic twists by: -4 8 -3 |