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	2442c	Isogeny class
Conductor	2442	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	133756441657344 = 216 · 32 · 112 · 374	Discriminant
Eigenvalues	2+ 3+ -2 -4 11-  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-350466,79709940]	[a1,a2,a3,a4,a6]
Generators	[241:2932:1]	Generators of the group modulo torsion
j	4760617885089919932457/133756441657344	j-invariant
L	1.5984607176513	L(r)(E,1)/r!
Ω	0.54299830158737	Real period
R	1.4718837176639	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	19536bd2 78144y2 7326i2 61050cj2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442c2

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	-4	-	6	-2	0	-8	10	8	-	6	0	-8	6	-4	-2	12	0	2	-4	-4	-6	-14

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Quadratic twists for elliptic curve 2442c2

-4	8	-3	5	-7	-11	37
19536bd2	78144y2	7326i2	61050cj2	119658bw2	26862o2	90354q2

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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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