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
deg	576	Modular degree for the optimal curve
Δ	58482000 = 24 · 34 · 53 · 192	Discriminant
Eigenvalues	2- 3+ 5+ -2  4  0 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-3381,76806]	[a1,a2,a3,a4,a6]
Generators	[15:171:1]	Generators of the group modulo torsion
j	267219216891904/3655125	j-invariant
L	2.1094520219743	L(r)(E,1)/r!
Ω	1.8042847891445	Real period
R	0.38971157891589	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	4560v1 18240bl1 3420e1 5700n1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1140a1

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 1140a1

-4	8	-3	5	-7	-19
4560v1	18240bl1	3420e1	5700n1	55860bc1	21660w1

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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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