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	-13436928 = -1 · 211 · 38	Discriminant
Eigenvalues	2- 3+ -2  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,16,-180]	[a1,a2,a3,a4,a6]
j	207646/6561	j-invariant
L	0.53912891187491	L(r)(E,1)/r!
Ω	1.0782578237498	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	48a6 192c6 72a6 600d6	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24a6

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 24a6

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73
48a6	192c6	72a6	600d6	1176i6	2904d6	4056a6	6936m6	8664g6	12696j6	20184f6	23064m5	32856c5	40344g5	44376f5	53016l5	67416f5	83544c5	89304e5	107736b5	120984h5	127896m5

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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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