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	48960j	Isogeny class
Conductor	48960	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-159805440 = -1 · 212 · 33 · 5 · 172	Discriminant
Eigenvalues	2+ 3+ 5+ -4  6 -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,12,-608]	[a1,a2,a3,a4,a6]
Generators	[14:48:1]	Generators of the group modulo torsion
j	1728/1445	j-invariant
L	4.7643969672997	L(r)(E,1)/r!
Ω	0.84866909071485	Real period
R	1.4034907773393	Regulator
r	1	Rank of the group of rational points
S	0.9999999999947	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	48960h2 24480z1 48960bd2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 48960j2

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	6	-2	+	0	-4	6	8	-4	2	-10	0	2	-4	-14	10	-10	8	16	-12	0	-8

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Quadratic twists for elliptic curve 48960j2

-4	8	-3
48960h2	24480z1	48960bd2

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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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