Cremona's table of elliptic curves

7280 = 2⁴ · 5 · 7 · 13

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 13+	Signs for the Atkin-Lehner involutions
Class	7280q	Isogeny class
Conductor	7280	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	102362624000 = 212 · 53 · 7 · 134	Discriminant
Eigenvalues	2-  0 5+ 7-  0 13+ -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-74723,7861922]	[a1,a2,a3,a4,a6]
Generators	[1679:67938:1]	Generators of the group modulo torsion
j	11264882429818809/24990875	j-invariant
L	3.7785003953996	L(r)(E,1)/r!
Ω	0.91576905216429	Real period
R	4.126040715691	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	455a3 29120cl4 65520ec4 36400bj4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 7280q3

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

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Quadratic twists for elliptic curve 7280q3

-4	8	-3	5	-7	13
455a3	29120cl4	65520ec4	36400bj4	50960by4	94640ch4

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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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