Cremona's table of elliptic curves

144 = 2⁴ · 3²

Field	Data	Notes
Atkin-Lehner	2- 3+	Signs for the Atkin-Lehner involutions
Class	144a	Isogeny class
Conductor	144	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	6912 = 28 · 33	Discriminant
Eigenvalues	2- 3+  0  4  0  2  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-15,-22]	[a1,a2,a3,a4,a6]
j	54000	j-invariant
L	1.2143253239438	L(r)(E,1)/r!
Ω	2.4286506478876	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	36a2 576e2 144a4 3600bb2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 144a2

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
-	+	0	4	0	2	0	-8	0	0	4	-10	0	-8	0	0	0	14	16	0	-10	4	0	0	14

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Quadratic twists for elliptic curve 144a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29
36a2	576e2	144a4	3600bb2	7056bf2	17424be2	24336ba2	41616bk2	51984bo2	76176bg2	121104bd2

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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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