Cremona's table of elliptic curves

4880 = 2⁴ · 5 · 61

Field	Data	Notes
Atkin-Lehner	2+ 5- 61-	Signs for the Atkin-Lehner involutions
Class	4880d	Isogeny class
Conductor	4880	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-95257600 = -1 · 210 · 52 · 612	Discriminant
Eigenvalues	2+ -2 5- -4  2 -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-80,-572]	[a1,a2,a3,a4,a6]
Generators	[16:50:1]	Generators of the group modulo torsion
j	-55990084/93025	j-invariant
L	2.4313831671021	L(r)(E,1)/r!
Ω	0.75426936899897	Real period
R	1.6117472530595	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	2440d2 19520q2 43920p2 24400f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4880d2

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

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Quadratic twists for elliptic curve 4880d2

-4	8	-3	5
2440d2	19520q2	43920p2	24400f2

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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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