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	216	Product of Tamagawa factors cp
deg	3456	Modular degree for the optimal curve
Δ	201513996288 = 212 · 33 · 113 · 372	Discriminant
Eigenvalues	2- 3-  0 -4 11- -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1538,8388]	[a1,a2,a3,a4,a6]
Generators	[-38:130:1]	Generators of the group modulo torsion
j	402355893390625/201513996288	j-invariant
L	4.8256233512262	L(r)(E,1)/r!
Ω	0.88845362386164	Real period
R	0.90524765383021	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	19536t1 78144d1 7326c1 61050i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442i1

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 2442i1

-4	8	-3	5	-7	-11	37
19536t1	78144d1	7326c1	61050i1	119658co1	26862i1	90354j1

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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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