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	4560z	Isogeny class
Conductor	4560	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	22693478400 = 216 · 36 · 52 · 19	Discriminant
Eigenvalues	2- 3- 5+ -2  6  0  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-25896,-1612620]	[a1,a2,a3,a4,a6]
j	468898230633769/5540400	j-invariant
L	2.258091540756	L(r)(E,1)/r!
Ω	0.376348590126	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	570a2 18240ce2 13680bw2 22800ce2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560z2

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

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Quadratic twists for elliptic curve 4560z2

-4	8	-3	5	-19
570a2	18240ce2	13680bw2	22800ce2	86640cc2

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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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