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	32	Product of Tamagawa factors cp
Δ	-881596846080 = -1 · 212 · 316 · 5	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1760,52788]	[a1,a2,a3,a4,a6]
j	-147281603041/215233605	j-invariant
L	1.5962422221318	L(r)(E,1)/r!
Ω	0.79812111106589	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	15a6 960i8 720h8 1200j8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 240d8

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 240d8

-4	8	-3	5	-7	-11	13	17	-19	-23
15a6	960i8	720h8	1200j8	11760bq8	29040dg7	40560ca7	69360cc7	86640cm7	126960cj7

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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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