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	4560g	Isogeny class
Conductor	4560	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-156385200 = -1 · 24 · 3 · 52 · 194	Discriminant
Eigenvalues	2+ 3- 5-  0  0 -2 -6 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-95,-732]	[a1,a2,a3,a4,a6]
Generators	[6792:11655:512]	Generators of the group modulo torsion
j	-5988775936/9774075	j-invariant
L	4.6007147968649	L(r)(E,1)/r!
Ω	0.72311931828675	Real period
R	6.3623176431866	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	2280b1 18240bu1 13680g1 22800a1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560g1

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

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Quadratic twists for elliptic curve 4560g1

-4	8	-3	5	-19
2280b1	18240bu1	13680g1	22800a1	86640h1

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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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