Cremona's table of elliptic curves

4554 = 2 · 3² · 11 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3+ 11+ 23-	Signs for the Atkin-Lehner involutions
Class	4554b	Isogeny class
Conductor	4554	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	6912972 = 22 · 33 · 112 · 232	Discriminant
Eigenvalues	2+ 3+ -2 -4 11+ -6 -4  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-48,36]	[a1,a2,a3,a4,a6]
Generators	[-6:12:1] [-5:14:1]	Generators of the group modulo torsion
j	458314011/256036	j-invariant
L	3.0763020562938	L(r)(E,1)/r!
Ω	2.0447637130614	Real period
R	0.37611950425437	Regulator
r	2	Rank of the group of rational points
S	0.99999999999929	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	36432bc2 4554v2 113850df2 50094bn2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554b2

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

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Quadratic twists for elliptic curve 4554b2

-4	-3	5	-11	-23
36432bc2	4554v2	113850df2	50094bn2	104742f2

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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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