Cremona's table of elliptic curves

8280 = 2³ · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 23-	Signs for the Atkin-Lehner involutions
Class	8280i	Isogeny class
Conductor	8280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-7.073578125E+19	Discriminant
Eigenvalues	2+ 3- 5+  0  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1052643,-580119442]	[a1,a2,a3,a4,a6]
Generators	[329454869279946470:-3786683712913571184:254779815354875]	Generators of the group modulo torsion
j	-172798332611391364/94757080078125	j-invariant
L	4.1541478731921	L(r)(E,1)/r!
Ω	0.072668477494532	Real period
R	28.582874008229	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	16560k4 66240cx3 2760f4 41400bl3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8280i4

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

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Quadratic twists for elliptic curve 8280i4

-4	8	-3	5
16560k4	66240cx3	2760f4	41400bl3

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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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