Cremona's table of elliptic curves

1110 = 2 · 3 · 5 · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 37+	Signs for the Atkin-Lehner involutions
Class	1110m	Isogeny class
Conductor	1110	Conductor
∏ cp	126	Product of Tamagawa factors cp
deg	1008	Modular degree for the optimal curve
Δ	-1035763200 = -1 · 29 · 37 · 52 · 37	Discriminant
Eigenvalues	2- 3- 5+ -5 -5 -1 -5 -3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-281,2361]	[a1,a2,a3,a4,a6]
Generators	[16:-53:1]	Generators of the group modulo torsion
j	-2454365649169/1035763200	j-invariant
L	3.5182792078765	L(r)(E,1)/r!
Ω	1.4588941518522	Real period
R	0.019139737328244	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8880m1 35520t1 3330j1 5550e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1110m1

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
-	-	+	-5	-5	-1	-5	-3	3	6	-6	+	0	4	0	-3	-10	10	-14	6	-9	0	5	13	-4

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Quadratic twists for elliptic curve 1110m1

-4	8	-3	5	-7	37
8880m1	35520t1	3330j1	5550e1	54390cd1	41070p1

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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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