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	4800w	Isogeny class
Conductor	4800	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	138240000000000 = 219 · 33 · 510	Discriminant
Eigenvalues	2+ 3- 5+  4  0  2 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-461633,120568863]	[a1,a2,a3,a4,a6]
j	2656166199049/33750	j-invariant
L	3.1799373294719	L(r)(E,1)/r!
Ω	0.52998955491198	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	4800bp4 150c5 14400bo4 960e5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4800w5

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	2	-6	4	0	6	8	2	-6	-4	0	-6	0	10	-4	0	-2	8	12	18	-2

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Quadratic twists for elliptic curve 4800w5

-4	8	-3	5
4800bp4	150c5	14400bo4	960e5

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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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