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	1818c	Isogeny class
Conductor	1818	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	-4169102524416 = -1 · 221 · 39 · 101	Discriminant
Eigenvalues	2+ 3+ -3  2  0  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,3954,-23212]	[a1,a2,a3,a4,a6]
j	347280685389/211812352	j-invariant
L	0.90373392695269	L(r)(E,1)/r!
Ω	0.45186696347635	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	14544o2 58176c2 1818i1 45450bq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1818c2

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	0	2	-6	-4	6	6	5	2	-3	-10	-6	12	6	5	-1	0	14	-1	12	-3	11

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Quadratic twists for elliptic curve 1818c2

-4	8	-3	5	-7
14544o2	58176c2	1818i1	45450bq2	89082d2

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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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