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	13436928 = 211 · 38	Discriminant
Eigenvalues	2+ 3-  2  0  4 -2 -2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-3459,-78302]	[a1,a2,a3,a4,a6]
j	3065617154/9	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	72a5 576i5 48a5 3600k5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 144b5

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 144b5

-4	8	-3	5	-7	-11	13	17	-19	-23	29
72a5	576i5	48a5	3600k5	7056z5	17424t5	24336i6	41616x6	51984v6	76176o6	121104l6

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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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