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	27	Product of Tamagawa factors cp
Δ	-1397415032 = -1 · 23 · 133 · 433	Discriminant
Eigenvalues	2-  1  0 -1  3 13-  6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,202,1436]	[a1,a2,a3,a4,a6]
j	911262377375/1397415032	j-invariant
L	3.098667157867	L(r)(E,1)/r!
Ω	1.0328890526223	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	8944d2 35776b2 10062f2 27950a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1118a2

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 1118a2

-4	8	-3	5	-7	13	-43
8944d2	35776b2	10062f2	27950a2	54782be2	14534b2	48074c2

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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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