Cremona's table of elliptic curves

1118 = 2 · 13 · 43

Field	Data	Notes
Atkin-Lehner	2- 13- 43-	Signs for the Atkin-Lehner involutions
Class	1118a	Isogeny class
Conductor	1118	Conductor
∏ cp	9	Product of Tamagawa factors cp
Δ	-911986946078 = -1 · 2 · 139 · 43	Discriminant
Eigenvalues	2-  1  0 -1  3 13-  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1948,-56786]	[a1,a2,a3,a4,a6]
j	-817531515762625/911986946078	j-invariant
L	3.098667157867	L(r)(E,1)/r!
Ω	0.34429635087411	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	8944d3 35776b3 10062f3 27950a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1118a3

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
-	1	0	-1	3	-	6	2	9	9	-4	2	6	-	-6	-6	-3	-10	-4	-12	-7	8	-12	3	8

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Quadratic twists for elliptic curve 1118a3

-4	8	-3	5	-7	13	-43
8944d3	35776b3	10062f3	27950a3	54782be3	14534b3	48074c3

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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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