Cremona's table of elliptic curves

66240 = 2⁶ · 3² · 5 · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 23+	Signs for the Atkin-Lehner involutions
Class	66240eq	Isogeny class
Conductor	66240	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	568650792960000 = 218 · 38 · 54 · 232	Discriminant
Eigenvalues	2- 3- 5+ -4  4  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-20748,-82928]	[a1,a2,a3,a4,a6]
Generators	[-96:1012:1]	Generators of the group modulo torsion
j	5168743489/2975625	j-invariant
L	5.0948970916065	L(r)(E,1)/r!
Ω	0.43294159488626	Real period
R	2.9420233301606	Regulator
r	1	Rank of the group of rational points
S	1.0000000001172	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	66240ce2 16560by2 22080dd2	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 66240eq2

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
-	-	+	-4	4	2	-6	8	+	6	-8	-6	6	-8	-8	2	4	10	8	0	-6	4	12	-6	-14

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Quadratic twists for elliptic curve 66240eq2

-4	8	-3
66240ce2	16560by2	22080dd2

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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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