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	4560a	Isogeny class
Conductor	4560	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	2584929024000 = 211 · 312 · 53 · 19	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-101576,12494160]	[a1,a2,a3,a4,a6]
Generators	[234:1218:1]	Generators of the group modulo torsion
j	56594125707224978/1262172375	j-invariant
L	3.0356569079571	L(r)(E,1)/r!
Ω	0.74988154066685	Real period
R	4.0481819371865	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	2280c3 18240cs4 13680t3 22800u4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560a4

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
+	+	+	0	4	-2	-2	+	-8	6	8	-10	-2	8	8	-6	8	-10	-4	-16	-6	16	-4	6	14

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Quadratic twists for elliptic curve 4560a4

-4	8	-3	5	-19
2280c3	18240cs4	13680t3	22800u4	86640r4

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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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