Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960eg |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-32487505920 = -1 · 219 · 36 · 5 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 3 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5868,-173232] |
[a1,a2,a3,a4,a6] |
Generators |
[1978:87904:1] |
Generators of the group modulo torsion |
j |
-116930169/170 |
j-invariant |
L |
5.846172676801 |
L(r)(E,1)/r! |
Ω |
0.27271509889361 |
Real period |
R |
5.3592308424946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48960bk1 12240by1 5440z1 |
Quadratic twists by: -4 8 -3 |