Cremona's table of elliptic curves

28140 = 2² · 3 · 5 · 7 · 67

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 67-	Signs for the Atkin-Lehner involutions
Class	28140n	Isogeny class
Conductor	28140	Conductor
∏ cp	162	Product of Tamagawa factors cp
deg	77760	Modular degree for the optimal curve
Δ	-16575770761200 = -1 · 24 · 39 · 52 · 7 · 673	Discriminant
Eigenvalues	2- 3- 5+ 7- -3  5 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-10066,-438655]	[a1,a2,a3,a4,a6]
Generators	[122:405:1]	Generators of the group modulo torsion
j	-7050463224473344/1035985672575	j-invariant
L	6.3592270892271	L(r)(E,1)/r!
Ω	0.23639385769683	Real period
R	1.4944990419296	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	112560bc1 84420z1	Quadratic twists by: -4 -3

Hecke Eigenvalues for elliptic curve 28140n1

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
-	-	+	-	-3	5	-6	2	0	0	-7	11	-12	-4	3	-6	3	-7	-	0	8	14	12	9	5

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Quadratic twists for elliptic curve 28140n1

-4	-3
112560bc1	84420z1

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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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