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
Δ	3058196150592 = 26 · 36 · 116 · 37	Discriminant
Eigenvalues	2- 3-  0 -4 11- -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-13378,-590716]	[a1,a2,a3,a4,a6]
Generators	[-70:98:1]	Generators of the group modulo torsion
j	264788619837198625/3058196150592	j-invariant
L	4.8256233512262	L(r)(E,1)/r!
Ω	0.44422681193082	Real period
R	1.8104953076604	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	19536t2 78144d2 7326c2 61050i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442i2

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 2442i2

-4	8	-3	5	-7	-11	37
19536t2	78144d2	7326c2	61050i2	119658co2	26862i2	90354j2

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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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