Cremona's table of elliptic curves

21280 = 2⁵ · 5 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+ 19-	Signs for the Atkin-Lehner involutions
Class	21280r	Isogeny class
Conductor	21280	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	51752960 = 212 · 5 · 7 · 192	Discriminant
Eigenvalues	2- -2 5+ 7+  0  6 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-161,655]	[a1,a2,a3,a4,a6]
Generators	[-14:19:1]	Generators of the group modulo torsion
j	113379904/12635	j-invariant
L	3.0611740862964	L(r)(E,1)/r!
Ω	1.9353897510819	Real period
R	1.5816835263208	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	21280t2 42560cz1 106400r2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 21280r2

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

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Quadratic twists for elliptic curve 21280r2

-4	8	5
21280t2	42560cz1	106400r2

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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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