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	4554m	Isogeny class
Conductor	4554	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	145920	Modular degree for the optimal curve
Δ	2191867665908760576 = 219 · 310 · 11 · 235	Discriminant
Eigenvalues	2+ 3-  3  1 11- -1 -7 -6	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1623213,-792397787]	[a1,a2,a3,a4,a6]
Generators	[-90932191:63300455:117649]	Generators of the group modulo torsion
j	648817971720191270353/3006677182316544	j-invariant
L	3.4006887300939	L(r)(E,1)/r!
Ω	0.13379096102534	Real period
R	12.708962937525	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	36432bu1 1518n1 113850fb1 50094ca1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 4554m1

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
+	-	3	1	-	-1	-7	-6	+	9	-5	-9	-4	-6	7	-2	-12	-14	-11	7	4	1	-14	0	16

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Quadratic twists for elliptic curve 4554m1

-4	-3	5	-11	-23
36432bu1	1518n1	113850fb1	50094ca1	104742p1

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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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