Cremona's table of elliptic curves

4818 = 2 · 3 · 11 · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 11+ 73+	Signs for the Atkin-Lehner involutions
Class	4818c	Isogeny class
Conductor	4818	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	1648449792 = 28 · 36 · 112 · 73	Discriminant
Eigenvalues	2- 3-  0 -2 11+ -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-328,-1216]	[a1,a2,a3,a4,a6]
Generators	[-10:38:1]	Generators of the group modulo torsion
j	3903264618625/1648449792	j-invariant
L	6.1054580852074	L(r)(E,1)/r!
Ω	1.1649969258748	Real period
R	0.21836459928219	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38544k1 14454d1 120450g1 52998i1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4818c1

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
-	-	0	-2	+	-2	0	0	-8	-8	6	-2	2	-10	0	0	12	2	-16	0	+	-4	0	18	-2

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Quadratic twists for elliptic curve 4818c1

-4	-3	5	-11
38544k1	14454d1	120450g1	52998i1

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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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