Cremona's table of elliptic curves

2240 = 2⁶ · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 5- 7-	Signs for the Atkin-Lehner involutions
Class	2240ba	Isogeny class
Conductor	2240	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	-573440 = -1 · 214 · 5 · 7	Discriminant
Eigenvalues	2- -1 5- 7- -5 -1  3 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-5,-35]	[a1,a2,a3,a4,a6]
j	-1024/35	j-invariant
L	1.2674336433083	L(r)(E,1)/r!
Ω	1.2674336433083	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2240g1 560a1 20160ek1 11200bx1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2240ba1

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
-	-1	-	-	-5	-1	3	-6	6	9	0	-6	8	6	-3	12	8	4	-4	-8	10	3	-12	-16	7

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Quadratic twists for elliptic curve 2240ba1

-4	8	-3	5	-7
2240g1	560a1	20160ek1	11200bx1	15680cf1

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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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