Cremona's table of elliptic curves

144 = 2⁴ · 3²

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Class	144b	Isogeny class
Conductor	144	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	60466176 = 210 · 310	Discriminant
Eigenvalues	2+ 3-  2  0  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-219,-1190]	[a1,a2,a3,a4,a6]
j	1556068/81	j-invariant
L	1.2450648895956	L(r)(E,1)/r!
Ω	1.2450648895956	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	72a4 576i3 48a3 3600k3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 144b3

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

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Quadratic twists for elliptic curve 144b3

-4	8	-3	5	-7	-11	13	17	-19	-23	29
72a4	576i3	48a3	3600k3	7056z4	17424t4	24336i3	41616x3	51984v3	76176o3	121104l3

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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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