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	-801182513521564416 = -1 · 28 · 34 · 11 · 378	Discriminant
Eigenvalues	2+ 3+ -2 -4 11-  6 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-336386,86426100]	[a1,a2,a3,a4,a6]
Generators	[68:7958:1]	Generators of the group modulo torsion
j	-4209586785160189454377/801182513521564416	j-invariant
L	1.5984607176513	L(r)(E,1)/r!
Ω	0.27149915079369	Real period
R	0.73594185883197	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	19536bd4 78144y3 7326i4 61050cj3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2442c4

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 2442c4

-4	8	-3	5	-7	-11	37
19536bd4	78144y3	7326i4	61050cj3	119658bw3	26862o3	90354q3

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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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