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	4800y	Isogeny class
Conductor	4800	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	829440000000 = 217 · 34 · 57	Discriminant
Eigenvalues	2+ 3- 5+ -4  0 -6  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-21633,-1231137]	[a1,a2,a3,a4,a6]
j	546718898/405	j-invariant
L	1.5747006168752	L(r)(E,1)/r!
Ω	0.39367515421881	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4800bo4 600f3 14400bs4 960c3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4800y3

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

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Quadratic twists for elliptic curve 4800y3

-4	8	-3	5
4800bo4	600f3	14400bs4	960c3

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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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