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	240a	Isogeny class
Conductor	240	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	518400 = 28 · 34 · 52	Discriminant
Eigenvalues	2+ 3+ 5-  0  4  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-20,0]	[a1,a2,a3,a4,a6]
j	3631696/2025	j-invariant
L	1.2064449969911	L(r)(E,1)/r!
Ω	2.4128899939821	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	120a2 960l2 720c2 1200e2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 240a2

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	6	-6	4	0	-2	8	-2	-6	-12	-8	6	-12	14	-4	-8	-6	8	12	10	2

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Quadratic twists for elliptic curve 240a2

-4	8	-3	5	-7	-11	13	17	-19	-23
120a2	960l2	720c2	1200e2	11760x2	29040o2	40560a2	69360x2	86640ba2	126960b2

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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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