Cremona's table of elliptic curves

48960 = 2⁶ · 3² · 5 · 17

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	48960ej	Isogeny class
Conductor	48960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-5.5228760064E+22	Discriminant
Eigenvalues	2- 3- 5+ -2 -6 -2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,9395412,-2230461488]	[a1,a2,a3,a4,a6]
Generators	[24257980068:6894173750000:300763]	Generators of the group modulo torsion
j	479958568556831351/289000000000000	j-invariant
L	3.6951377202966	L(r)(E,1)/r!
Ω	0.065040143571532	Real period
R	14.20329629279	Regulator
r	1	Rank of the group of rational points
S	1.0000000000023	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	48960bm4 12240ca4 5440y4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 48960ej4

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	-2	-6	-2	+	8	-6	-6	-2	-2	6	-4	12	6	0	-2	8	-6	2	10	-12	-6	2

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Quadratic twists for elliptic curve 48960ej4

-4	8	-3
48960bm4	12240ca4	5440y4

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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