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
Δ	-42826704426 = -1 · 2 · 314 · 112 · 37	Discriminant
Eigenvalues	2+ 3+ -2  2 11- -6 -2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-106,-10010]	[a1,a2,a3,a4,a6]
Generators	[23:8:1]	Generators of the group modulo torsion
j	-133667977897/42826704426	j-invariant
L	1.8731838668974	L(r)(E,1)/r!
Ω	0.51125546899939	Real period
R	3.6638901302387	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	19536bc2 78144x2 7326h2 61050ch2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442b2

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 2442b2

-4	8	-3	5	-7	-11	37
19536bc2	78144x2	7326h2	61050ch2	119658bv2	26862n2	90354p2

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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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