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	2442b	Isogeny class
Conductor	2442	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	131736132 = 22 · 37 · 11 · 372	Discriminant
Eigenvalues	2+ 3+ -2  2 11- -6 -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-476,-4164]	[a1,a2,a3,a4,a6]
Generators	[-14:8:1]	Generators of the group modulo torsion
j	11966561852617/131736132	j-invariant
L	1.8731838668974	L(r)(E,1)/r!
Ω	1.0225109379988	Real period
R	1.8319450651193	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	19536bc1 78144x1 7326h1 61050ch1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442b1

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

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Quadratic twists for elliptic curve 2442b1

-4	8	-3	5	-7	-11	37
19536bc1	78144x1	7326h1	61050ch1	119658bv1	26862n1	90354p1

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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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