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
deg	1536	Modular degree for the optimal curve
Δ	-554496000 = -1 · 212 · 3 · 53 · 192	Discriminant
Eigenvalues	2- 3- 5+  2  2 -4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,24,1140]	[a1,a2,a3,a4,a6]
j	357911/135375	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	285b1 18240cc1 13680bu1 22800cf1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560y1

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 4560y1

-4	8	-3	5	-19
285b1	18240cc1	13680bu1	22800cf1	86640by1

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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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