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	240b	Isogeny class
Conductor	240	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	331776000 = 215 · 34 · 53	Discriminant
Eigenvalues	2- 3+ 5+  4  0  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-85336,9623536]	[a1,a2,a3,a4,a6]
j	16778985534208729/81000	j-invariant
L	1.1583921113141	L(r)(E,1)/r!
Ω	1.1583921113141	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30a7 960o8 720j7 1200p8	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 240b8

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
-	+	+	4	0	2	6	4	0	-6	-8	2	-6	4	0	-6	0	-10	4	0	2	-8	-12	18	2

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Quadratic twists for elliptic curve 240b8

-4	8	-3	5	-7	-11	13	17	-19	-23
30a7	960o8	720j7	1200p8	11760cp7	29040ch7	40560bv7	69360du7	86640dq7	126960ch7

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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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