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	4554bj	Isogeny class
Conductor	4554	Conductor
∏ cp	256	Product of Tamagawa factors cp
deg	61440	Modular degree for the optimal curve
Δ	-11728259426746368 = -1 · 216 · 312 · 114 · 23	Discriminant
Eigenvalues	2- 3- -4  2 11- -6  0  6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,42403,3971045]	[a1,a2,a3,a4,a6]
Generators	[111:3112:1]	Generators of the group modulo torsion
j	11566328890520951/16088147361792	j-invariant
L	4.5715462312723	L(r)(E,1)/r!
Ω	0.27182643396162	Real period
R	0.26277948329968	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	36432bq1 1518g1 113850bv1 50094bi1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554bj1

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

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Quadratic twists for elliptic curve 4554bj1

-4	-3	5	-11	-23
36432bq1	1518g1	113850bv1	50094bi1	104742bx1

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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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