Cremona's table of elliptic curves

1140 = 2² · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 19-	Signs for the Atkin-Lehner involutions
Class	1140a	Isogeny class
Conductor	1140	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	498636000000 = 28 · 38 · 56 · 19	Discriminant
Eigenvalues	2- 3+ 5+ -2  4  0 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3476,72360]	[a1,a2,a3,a4,a6]
Generators	[14:162:1]	Generators of the group modulo torsion
j	18148802937424/1947796875	j-invariant
L	2.1094520219743	L(r)(E,1)/r!
Ω	0.90214239457227	Real period
R	0.77942315783177	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	4560v2 18240bl2 3420e2 5700n2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1140a2

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

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Quadratic twists for elliptic curve 1140a2

-4	8	-3	5	-7	-19
4560v2	18240bl2	3420e2	5700n2	55860bc2	21660w2

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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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