Cremona's table of elliptic curves

24 = 2³ · 3

Field	Data	Notes
Atkin-Lehner	2- 3+	Signs for the Atkin-Lehner involutions
Class	24a	Isogeny class
Conductor	24	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	82944 = 210 · 34	Discriminant
Eigenvalues	2- 3+ -2  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-24,-36]	[a1,a2,a3,a4,a6]
j	1556068/81	j-invariant
L	0.53912891187491	L(r)(E,1)/r!
Ω	2.1565156474996	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	48a3 192c3 72a4 600d3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24a2

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 24a2

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73
48a3	192c3	72a4	600d3	1176i4	2904d4	4056a3	6936m3	8664g4	12696j4	20184f3	23064m3	32856c3	40344g3	44376f3	53016l3	67416f3	83544c3	89304e3	107736b3	120984h3	127896m3

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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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