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	4554l	Isogeny class
Conductor	4554	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	3072	Modular degree for the optimal curve
Δ	-4674371328 = -1 · 28 · 38 · 112 · 23	Discriminant
Eigenvalues	2+ 3-  0 -2 11-  2  8 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,378,1588]	[a1,a2,a3,a4,a6]
Generators	[12:82:1]	Generators of the group modulo torsion
j	8181353375/6412032	j-invariant
L	2.6894392185861	L(r)(E,1)/r!
Ω	0.88256512061405	Real period
R	0.76182458261973	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	36432br1 1518m1 113850fc1 50094by1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554l1

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	8	-6	+	-6	4	-6	2	-6	-8	4	12	10	-14	16	10	-14	4	0	-2

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Quadratic twists for elliptic curve 4554l1

-4	-3	5	-11	-23
36432br1	1518m1	113850fc1	50094by1	104742g1

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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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