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	8	Product of Tamagawa factors cp
Δ	-9795520512 = -1 · 211 · 314	Discriminant
Eigenvalues	2+ 3-  2  0  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,141,-4718]	[a1,a2,a3,a4,a6]
j	207646/6561	j-invariant
L	1.2450648895956	L(r)(E,1)/r!
Ω	0.62253244479778	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	72a6 576i6 48a6 3600k6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 144b6

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 144b6

-4	8	-3	5	-7	-11	13	17	-19	-23	29
72a6	576i6	48a6	3600k6	7056z6	17424t6	24336i5	41616x5	51984v5	76176o5	121104l5

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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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