Cremona's table of elliptic curves

480 = 2⁵ · 3 · 5

Field	Data	Notes
Atkin-Lehner	2- 3+ 5-	Signs for the Atkin-Lehner involutions
Class	480f	Isogeny class
Conductor	480	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-23040000 = -1 · 212 · 32 · 54	Discriminant
Eigenvalues	2- 3+ 5- -4  0 -2 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,15,225]	[a1,a2,a3,a4,a6]
Generators	[-3:12:1]	Generators of the group modulo torsion
j	85184/5625	j-invariant
L	1.683613641418	L(r)(E,1)/r!
Ω	1.6305286191794	Real period
R	0.51627846994347	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	480h4 960m1 1440e4 2400k4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 480f4

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	0	-4	-2	-8	6	-6	12	-12	-10	8	-10	-12	8	10	16	12	-6	18

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Quadratic twists for elliptic curve 480f4

-4	8	-3	5	-7	-11	13
480h4	960m1	1440e4	2400k4	23520bp2	58080n2	81120e2

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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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