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	480b	Isogeny class
Conductor	480	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	7680 = 29 · 3 · 5	Discriminant
Eigenvalues	2+ 3+ 5-  0  0  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-160,-728]	[a1,a2,a3,a4,a6]
j	890277128/15	j-invariant
L	1.3416648387979	L(r)(E,1)/r!
Ω	1.3416648387979	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	480g3 960f3 1440j3 2400ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 480b2

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	0	2	6	-4	8	-2	4	10	2	-4	8	-2	8	-2	-12	8	-14	-12	-4	-14	2

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Quadratic twists for elliptic curve 480b2

-4	8	-3	5	-7	-11	13
480g3	960f3	1440j3	2400ba2	23520n4	58080bo4	81120z4

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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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