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	2	Product of Tamagawa factors cp
Δ	61440 = 212 · 3 · 5	Discriminant
Eigenvalues	2- 3- 5-  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1280,-18060]	[a1,a2,a3,a4,a6]
j	56667352321/15	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	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15a7 960i3 720h4 1200j3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 240d3

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 240d3

-4	8	-3	5	-7	-11	13	17	-19	-23
15a7	960i3	720h4	1200j3	11760bq4	29040dg4	40560ca4	69360cc4	86640cm4	126960cj4

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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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