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	4800cc	Isogeny class
Conductor	4800	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	207360000000 = 215 · 34 · 57	Discriminant
Eigenvalues	2- 3- 5+  0 -4  2  2 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5633,-163137]	[a1,a2,a3,a4,a6]
Generators	[-41:24:1]	Generators of the group modulo torsion
j	38614472/405	j-invariant
L	4.3875574172576	L(r)(E,1)/r!
Ω	0.55142103050818	Real period
R	0.99460239420278	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	4800bh3 2400r2 14400do3 960k3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4800cc3

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

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Quadratic twists for elliptic curve 4800cc3

-4	8	-3	5
4800bh3	2400r2	14400do3	960k3

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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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