Cremona's table of elliptic curves

1183 = 7 · 13²

Field	Data	Notes
Atkin-Lehner	7+ 13+	Signs for the Atkin-Lehner involutions
Class	1183a	Isogeny class
Conductor	1183	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-2532128994850819 = -1 · 79 · 137	Discriminant
Eigenvalues	0 -2  3 7+  0 13+ -6  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-19829,-2655480]	[a1,a2,a3,a4,a6]
Generators	[1850:79345:1]	Generators of the group modulo torsion
j	-178643795968/524596891	j-invariant
L	1.8648639063491	L(r)(E,1)/r!
Ω	0.18611706335492	Real period
R	5.0099219081081	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	18928bb3 75712l3 10647c3 29575i3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1183a3

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
0	-2	3	+	0	+	-6	7	3	-9	-5	-2	6	-1	-3	-9	0	-10	-14	6	-11	-1	-3	-15	1

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Quadratic twists for elliptic curve 1183a3

-4	8	-3	5	-7	13
18928bb3	75712l3	10647c3	29575i3	8281d3	91b3

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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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