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	21280t	Isogeny class
Conductor	21280	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2560	Modular degree for the optimal curve
Δ	-1489600 = -1 · 26 · 52 · 72 · 19	Discriminant
Eigenvalues	2-  2 5+ 7-  0  6 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,14,-60]	[a1,a2,a3,a4,a6]
Generators	[48:330:1]	Generators of the group modulo torsion
j	4410944/23275	j-invariant
L	7.4519274728121	L(r)(E,1)/r!
Ω	1.3492801134495	Real period
R	2.7614456770435	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	21280r1 42560di2 106400c1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 21280t1

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 21280t1

-4	8	5
21280r1	42560di2	106400c1

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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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