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	48	Product of Tamagawa factors cp
Δ	33705456048 = 24 · 33 · 114 · 732	Discriminant
Eigenvalues	2- 3-  0 -2 11+ -2  0  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2488,46736]	[a1,a2,a3,a4,a6]
Generators	[50:194:1]	Generators of the group modulo torsion
j	1703278834890625/33705456048	j-invariant
L	6.1054580852074	L(r)(E,1)/r!
Ω	1.1649969258748	Real period
R	0.43672919856438	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	38544k2 14454d2 120450g2 52998i2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4818c2

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 4818c2

-4	-3	5	-11
38544k2	14454d2	120450g2	52998i2

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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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