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	2	Product of Tamagawa factors cp
Δ	-48 = -1 · 24 · 3	Discriminant
Eigenvalues	2- 3+ -2  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1,0]	[a1,a2,a3,a4,a6]
j	2048/3	j-invariant
L	0.53912891187491	L(r)(E,1)/r!
Ω	4.3130312949993	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	48a4 192c1 72a1 600d1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24a4

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 24a4

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73
48a4	192c1	72a1	600d1	1176i1	2904d1	4056a1	6936m1	8664g1	12696j1	20184f1	23064m1	32856c1	40344g1	44376f1	53016l1	67416f1	83544c1	89304e1	107736b1	120984h1	127896m1

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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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