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	1140c	Isogeny class
Conductor	1140	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	2222316000000 = 28 · 34 · 56 · 193	Discriminant
Eigenvalues	2- 3- 5+  2  0 -4  6 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-36956,-2745900]	[a1,a2,a3,a4,a6]
j	21804712949838544/8680921875	j-invariant
L	2.0660411292116	L(r)(E,1)/r!
Ω	0.34434018820194	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	4560l4 18240n4 3420c4 5700f4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1140c4

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	0	-4	6	-	6	6	8	-4	-6	-10	6	12	12	-10	-4	0	14	8	-18	-6	8

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Quadratic twists for elliptic curve 1140c4

-4	8	-3	5	-7	-19
4560l4	18240n4	3420c4	5700f4	55860l4	21660e4

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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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