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	64	Product of Tamagawa factors cp
Δ	6.9386327719839E+19	Discriminant
Eigenvalues	2+ 3- 5+  0  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1276923,-384496378]	[a1,a2,a3,a4,a6]
Generators	[488795:29158848:125]	Generators of the group modulo torsion
j	308453964046598884/92949363050625	j-invariant
L	4.1541478731921	L(r)(E,1)/r!
Ω	0.14533695498906	Real period
R	7.1457185020572	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	16560k3 66240cx4 2760f3 41400bl4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 8280i3

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 8280i3

-4	8	-3	5
16560k3	66240cx4	2760f3	41400bl4

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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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