Cremona's table of elliptic curves

4800 = 2⁶ · 3 · 5²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5+	Signs for the Atkin-Lehner involutions
Class	4800b	Isogeny class
Conductor	4800	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-881596846080000000 = -1 · 218 · 316 · 57	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-176033,-53316063]	[a1,a2,a3,a4,a6]
Generators	[74494917536:-2285626983723:65450827]	Generators of the group modulo torsion
j	-147281603041/215233605	j-invariant
L	3.2907346725662	L(r)(E,1)/r!
Ω	0.11072739278831	Real period
R	14.859623213822	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4800cd8 75b8 14400y8 960g8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4800b8

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

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Quadratic twists for elliptic curve 4800b8

-4	8	-3	5
4800cd8	75b8	14400y8	960g8

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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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