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	16	Product of Tamagawa factors cp
Δ	298598400 = 214 · 36 · 52	Discriminant
Eigenvalues	2- 3+ 5+  4  0  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-296,-1680]	[a1,a2,a3,a4,a6]
j	702595369/72900	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	4	Number of elements in the torsion subgroup
Twists	30a2 960o2 720j2 1200p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 240b2

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 240b2

-4	8	-3	5	-7	-11	13	17	-19	-23
30a2	960o2	720j2	1200p2	11760cp2	29040ch2	40560bv2	69360du2	86640dq2	126960ch2

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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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