Cremona's table of elliptic curves

4560 = 2⁴ · 3 · 5 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 19+	Signs for the Atkin-Lehner involutions
Class	4560v	Isogeny class
Conductor	4560	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	58482000 = 24 · 34 · 53 · 192	Discriminant
Eigenvalues	2- 3- 5+  2 -4  0 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3381,-76806]	[a1,a2,a3,a4,a6]
Generators	[270:4332:1]	Generators of the group modulo torsion
j	267219216891904/3655125	j-invariant
L	4.2830430520271	L(r)(E,1)/r!
Ω	0.62607723803527	Real period
R	3.420538866313	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	1140a1 18240cf1 13680bi1 22800bt1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560v1

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

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Quadratic twists for elliptic curve 4560v1

-4	8	-3	5	-19
1140a1	18240cf1	13680bi1	22800bt1	86640bz1

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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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