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	4800bv	Isogeny class
Conductor	4800	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	9216000000000 = 219 · 32 · 59	Discriminant
Eigenvalues	2- 3+ 5- -2  2 -6  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-84833,9537537]	[a1,a2,a3,a4,a6]
Generators	[-83:4000:1]	Generators of the group modulo torsion
j	131872229/18	j-invariant
L	2.9783984364714	L(r)(E,1)/r!
Ω	0.70376475292436	Real period
R	1.0580234460788	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	4800bd2 1200q2 14400ev2 4800cl2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4800bv2

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

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Quadratic twists for elliptic curve 4800bv2

-4	8	-3	5
4800bd2	1200q2	14400ev2	4800cl2

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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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