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	4800cb	Isogeny class
Conductor	4800	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	82944000000 = 216 · 34 · 56	Discriminant
Eigenvalues	2- 3- 5+  0  4 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-2433,43263]	[a1,a2,a3,a4,a6]
Generators	[-27:300:1]	Generators of the group modulo torsion
j	1556068/81	j-invariant
L	4.5569549044971	L(r)(E,1)/r!
Ω	1.066162137529	Real period
R	1.0685417217729	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	4800c3 1200a4 14400ds3 192d4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4800cb4

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	-8	-6	-8	6	-6	-4	0	-2	4	2	4	-8	-10	8	4	-6	-2

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Quadratic twists for elliptic curve 4800cb4

-4	8	-3	5
4800c3	1200a4	14400ds3	192d4

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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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