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	1818a	Isogeny class
Conductor	1818	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	432	Modular degree for the optimal curve
Δ	-15903864 = -1 · 23 · 39 · 101	Discriminant
Eigenvalues	2+ 3+ -1 -2  4 -2  6 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-15,197]	[a1,a2,a3,a4,a6]
Generators	[1:13:1]	Generators of the group modulo torsion
j	-19683/808	j-invariant
L	2.0514873482774	L(r)(E,1)/r!
Ω	1.8331183506108	Real period
R	0.55956216563811	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	14544j1 58176d1 1818j1 45450bl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1818a1

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	-2	4	-2	6	-8	-2	2	9	-2	5	-2	-2	-8	-14	7	-7	-8	-10	3	-4	5	-13

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Quadratic twists for elliptic curve 1818a1

-4	8	-3	5	-7
14544j1	58176d1	1818j1	45450bl1	89082h1

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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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