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	8	Product of Tamagawa factors cp
Δ	256500000000000 = 211 · 33 · 512 · 19	Discriminant
Eigenvalues	2+ 3+ 5+  0  4 -2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-27096,-1525104]	[a1,a2,a3,a4,a6]
Generators	[-70:154:1]	Generators of the group modulo torsion
j	1074299413481138/125244140625	j-invariant
L	3.0356569079571	L(r)(E,1)/r!
Ω	0.37494077033342	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	2280c4 18240cs3 13680t4 22800u3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560a3

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 4560a3

-4	8	-3	5	-19
2280c4	18240cs3	13680t4	22800u3	86640r3

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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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