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	1818h	Isogeny class
Conductor	1818	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	550854 = 2 · 33 · 1012	Discriminant
Eigenvalues	2- 3+ -2 -2 -4  6  4  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-26,-29]	[a1,a2,a3,a4,a6]
j	69426531/20402	j-invariant
L	2.1685087878652	L(r)(E,1)/r!
Ω	2.1685087878652	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14544k2 58176e2 1818b2 45450d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1818h2

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
-	+	-2	-2	-4	6	4	4	0	2	0	10	10	4	-12	6	12	8	-4	-8	14	16	-4	6	-14

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Quadratic twists for elliptic curve 1818h2

-4	8	-3	5	-7
14544k2	58176e2	1818b2	45450d2	89082ba2

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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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