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	4554i	Isogeny class
Conductor	4554	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	14592	Modular degree for the optimal curve
Δ	105304237277184 = 219 · 38 · 113 · 23	Discriminant
Eigenvalues	2+ 3-  1 -3 11+  1  1  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-22779,-1222043]	[a1,a2,a3,a4,a6]
Generators	[-67:38:1]	Generators of the group modulo torsion
j	1793126264853169/144450256896	j-invariant
L	2.7072706620887	L(r)(E,1)/r!
Ω	0.39059818576674	Real period
R	3.465544337814	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	36432ca1 1518o1 113850eb1 50094cf1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554i1

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	-3	+	1	1	4	-	5	-11	-1	2	-10	7	10	4	8	-1	-9	6	-7	-2	-12	-2

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Quadratic twists for elliptic curve 4554i1

-4	-3	5	-11	-23
36432ca1	1518o1	113850eb1	50094cf1	104742u1

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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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