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	32	Product of Tamagawa factors cp
Δ	4210704000000 = 210 · 36 · 56 · 192	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6576,182160]	[a1,a2,a3,a4,a6]
Generators	[-16:532:1]	Generators of the group modulo torsion
j	30716746229956/4112015625	j-invariant
L	3.0356569079571	L(r)(E,1)/r!
Ω	0.74988154066685	Real period
R	2.0240909685932	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2280c2 18240cs2 13680t2 22800u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560a2

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 4560a2

-4	8	-3	5	-19
2280c2	18240cs2	13680t2	22800u2	86640r2

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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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