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	4560c	Isogeny class
Conductor	4560	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-4187585018880 = -1 · 210 · 316 · 5 · 19	Discriminant
Eigenvalues	2+ 3+ 5- -4  4  2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-160,98512]	[a1,a2,a3,a4,a6]
j	-445138564/4089438495	j-invariant
L	1.247622961101	L(r)(E,1)/r!
Ω	0.6238114805505	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	2280e4 18240co4 13680k4 22800ba3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560c4

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
+	+	-	-4	4	2	-6	+	-4	6	-8	10	2	0	4	2	12	-2	-4	0	-14	-8	0	2	-18

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Quadratic twists for elliptic curve 4560c4

-4	8	-3	5	-19
2280e4	18240co4	13680k4	22800ba3	86640bj3

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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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