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	8	Product of Tamagawa factors cp
Δ	138240000 = 213 · 33 · 54	Discriminant
Eigenvalues	2- 3+ 5+  4  0  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4616,-119184]	[a1,a2,a3,a4,a6]
j	2656166199049/33750	j-invariant
L	1.1583921113141	L(r)(E,1)/r!
Ω	0.57919605565704	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	30a5 960o4 720j5 1200p4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 240b4

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 240b4

-4	8	-3	5	-7	-11	13	17	-19	-23
30a5	960o4	720j5	1200p4	11760cp5	29040ch5	40560bv5	69360du5	86640dq5	126960ch5

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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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