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	18432 = 211 · 32	Discriminant
Eigenvalues	2- 3+ -2  0  4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-384,-2772]	[a1,a2,a3,a4,a6]
j	3065617154/9	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	48a5 192c5 72a5 600d5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 24a5

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 24a5

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37	41	-43	-47	53	-59	61	-67	-71	73
48a5	192c5	72a5	600d5	1176i5	2904d5	4056a5	6936m5	8664g5	12696j5	20184f5	23064m6	32856c6	40344g6	44376f6	53016l6	67416f6	83544c6	89304e6	107736b6	120984h6	127896m6

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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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