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	1818d	Isogeny class
Conductor	1818	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-45971179591374 = -1 · 2 · 37 · 1015	Discriminant
Eigenvalues	2+ 3- -1 -2 -2  4  2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,5400,286902]	[a1,a2,a3,a4,a6]
j	23885383766399/63060603006	j-invariant
L	0.89433670234365	L(r)(E,1)/r!
Ω	0.44716835117183	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	14544s2 58176y2 606f2 45450bx2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1818d2

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	-2	4	2	0	-4	0	7	-12	3	4	12	6	10	-3	13	-2	4	5	6	-5	3

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Quadratic twists for elliptic curve 1818d2

-4	8	-3	5	-7
14544s2	58176y2	606f2	45450bx2	89082u2

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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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