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	48960g	Isogeny class
Conductor	48960	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3008102400 = 218 · 33 · 52 · 17	Discriminant
Eigenvalues	2+ 3+ 5+  4  2 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-17388,-882512]	[a1,a2,a3,a4,a6]
Generators	[24456:727748:27]	Generators of the group modulo torsion
j	82142689923/425	j-invariant
L	6.9793393587866	L(r)(E,1)/r!
Ω	0.41575480924117	Real period
R	8.3935762180648	Regulator
r	1	Rank of the group of rational points
S	1.0000000000002	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	48960dn2 765b2 48960ba2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 48960g2

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
+	+	+	4	2	-2	+	0	0	6	8	-8	2	2	0	-10	-4	-10	-2	14	-8	-8	4	0	-16

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Quadratic twists for elliptic curve 48960g2

-4	8	-3
48960dn2	765b2	48960ba2

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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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