Cremona's table of elliptic curves

2442 = 2 · 3 · 11 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 11- 37-	Signs for the Atkin-Lehner involutions
Class	2442i	Isogeny class
Conductor	2442	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	1354703543952 = 24 · 3 · 11 · 376	Discriminant
Eigenvalues	2- 3-  0 -4 11- -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-67538,-6761100]	[a1,a2,a3,a4,a6]
Generators	[-150:90:1]	Generators of the group modulo torsion
j	34069730739753390625/1354703543952	j-invariant
L	4.8256233512262	L(r)(E,1)/r!
Ω	0.29615120795388	Real period
R	2.7157429614906	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	19536t3 78144d3 7326c3 61050i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442i3

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
-	-	0	-4	-	-4	-6	2	-6	-6	-4	-	6	2	0	6	6	8	-4	-12	2	2	-12	0	2

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Quadratic twists for elliptic curve 2442i3

-4	8	-3	5	-7	-11	37
19536t3	78144d3	7326c3	61050i3	119658co3	26862i3	90354j3

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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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