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	4560bd	Isogeny class
Conductor	4560	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	171000000000000 = 212 · 32 · 512 · 19	Discriminant
Eigenvalues	2- 3- 5- -4 -4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-19800,-875052]	[a1,a2,a3,a4,a6]
Generators	[-84:450:1]	Generators of the group modulo torsion
j	209595169258201/41748046875	j-invariant
L	4.179577021365	L(r)(E,1)/r!
Ω	0.40807258667224	Real period
R	0.85351992878046	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	285c4 18240bt3 13680bg4 22800ch3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560bd3

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
-	-	-	-4	-4	2	2	-	4	-2	0	-6	-6	-8	12	-14	-4	14	4	0	-14	-16	0	-6	-10

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Quadratic twists for elliptic curve 4560bd3

-4	8	-3	5	-19
285c4	18240bt3	13680bg4	22800ch3	86640ct3

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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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