Cremona's table of elliptic curves

1818 = 2 · 3² · 101

Field	Data	Notes
Atkin-Lehner	2+ 3- 101-	Signs for the Atkin-Lehner involutions
Class	1818f	Isogeny class
Conductor	1818	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	11424	Modular degree for the optimal curve
Δ	-1217083015875456 = -1 · 27 · 323 · 101	Discriminant
Eigenvalues	2+ 3- -3  2 -2 -4  6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-11826,1752916]	[a1,a2,a3,a4,a6]
Generators	[959:29045:1]	Generators of the group modulo torsion
j	-250917218570017/1669524027264	j-invariant
L	1.9478747775326	L(r)(E,1)/r!
Ω	0.41828634597776	Real period
R	1.1641993554555	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	14544z1 58176q1 606d1 45450ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1818f1

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
+	-	-3	2	-2	-4	6	4	4	-8	7	-4	-9	-8	-8	14	6	-5	3	6	-12	-3	-14	-9	-13

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Quadratic twists for elliptic curve 1818f1

-4	8	-3	5	-7
14544z1	58176q1	606d1	45450ce1	89082p1

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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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