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	16	Product of Tamagawa factors cp
Δ	984960000 = 210 · 34 · 54 · 19	Discriminant
Eigenvalues	2+ 3+ 5- -4  4  2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-32840,2301600]	[a1,a2,a3,a4,a6]
j	3825131988299044/961875	j-invariant
L	1.247622961101	L(r)(E,1)/r!
Ω	1.247622961101	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2280e3 18240co3 13680k3 22800ba4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560c3

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 4560c3

-4	8	-3	5	-19
2280e3	18240co3	13680k3	22800ba4	86640bj4

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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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