Cremona's table of elliptic curves

240 = 2⁴ · 3 · 5

Field	Data	Notes
Atkin-Lehner	2- 3- 5-	Signs for the Atkin-Lehner involutions
Class	240d	Isogeny class
Conductor	240	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	207360000 = 212 · 34 · 54	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-160,308]	[a1,a2,a3,a4,a6]
j	111284641/50625	j-invariant
L	1.5962422221318	L(r)(E,1)/r!
Ω	1.5962422221318	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	8	Number of elements in the torsion subgroup
Twists	15a1 960i4 720h3 1200j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 240d4

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

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Quadratic twists for elliptic curve 240d4

-4	8	-3	5	-7	-11	13	17	-19	-23
15a1	960i4	720h3	1200j4	11760bq3	29040dg3	40560ca3	69360cc3	86640cm3	126960cj3

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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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