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	4818d	Isogeny class
Conductor	4818	Conductor
∏ cp	112	Product of Tamagawa factors cp
deg	7168	Modular degree for the optimal curve
Δ	11722309632 = 214 · 34 · 112 · 73	Discriminant
Eigenvalues	2- 3-  0 -2 11- -4 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-14863,696185]	[a1,a2,a3,a4,a6]
Generators	[134:-1123:1]	Generators of the group modulo torsion
j	363115653908640625/11722309632	j-invariant
L	6.1133080510187	L(r)(E,1)/r!
Ω	1.1869993457186	Real period
R	0.18393643701746	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	38544h1 14454c1 120450j1 52998f1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4818d1

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	-	-4	-2	-4	-4	4	2	2	-10	0	-10	-4	4	10	4	-8	-	8	-12	-2	-14

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Quadratic twists for elliptic curve 4818d1

-4	-3	5	-11
38544h1	14454c1	120450j1	52998f1

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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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