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	4554bi	Isogeny class
Conductor	4554	Conductor
∏ cp	14	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	23607936 = 27 · 36 · 11 · 23	Discriminant
Eigenvalues	2- 3- -1 -1 11-  3 -3 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-428,3503]	[a1,a2,a3,a4,a6]
Generators	[9:13:1]	Generators of the group modulo torsion
j	11867954041/32384	j-invariant
L	5.1253984914739	L(r)(E,1)/r!
Ω	2.1406550047053	Real period
R	0.17102236999583	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	36432bh1 506a1 113850br1 50094z1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554bi1

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
-	-	-1	-1	-	3	-3	-6	-	1	-7	-5	2	-8	1	6	10	-8	7	5	4	11	-12	-6	2

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Quadratic twists for elliptic curve 4554bi1

-4	-3	5	-11	-23
36432bh1	506a1	113850br1	50094z1	104742bn1

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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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