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	220644468 = 22 · 32 · 112 · 373	Discriminant
Eigenvalues	2- 3-  0 -4 11- -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1080598,-432448912]	[a1,a2,a3,a4,a6]
Generators	[1256:13232:1]	Generators of the group modulo torsion
j	139545621883503188502625/220644468	j-invariant
L	4.8256233512262	L(r)(E,1)/r!
Ω	0.14807560397694	Real period
R	5.4314859229812	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	19536t4 78144d4 7326c4 61050i4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442i4

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 2442i4

-4	8	-3	5	-7	-11	37
19536t4	78144d4	7326c4	61050i4	119658co4	26862i4	90354j4

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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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