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	4560y	Isogeny class
Conductor	4560	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	10944000000 = 212 · 32 · 56 · 19	Discriminant
Eigenvalues	2- 3- 5+  2  2 -4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1496,21204]	[a1,a2,a3,a4,a6]
j	90458382169/2671875	j-invariant
L	2.5475456830068	L(r)(E,1)/r!
Ω	1.2737728415034	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	285b2 18240cc2 13680bu2 22800cf2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560y2

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	2	-4	2	-	4	4	0	0	0	10	-12	-2	-4	2	16	0	-2	8	12	0	-16

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Quadratic twists for elliptic curve 4560y2

-4	8	-3	5	-19
285b2	18240cc2	13680bu2	22800cf2	86640by2

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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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