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	96	Product of Tamagawa factors cp
Δ	600519168000 = 212 · 32 · 53 · 194	Discriminant
Eigenvalues	2- 3- 5- -4 -4  2  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-96120,11438100]	[a1,a2,a3,a4,a6]
Generators	[180:30:1]	Generators of the group modulo torsion
j	23977812996389881/146611125	j-invariant
L	4.179577021365	L(r)(E,1)/r!
Ω	0.81614517334449	Real period
R	0.85351992878046	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	285c3 18240bt4 13680bg3 22800ch4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 4560bd4

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 4560bd4

-4	8	-3	5	-19
285c3	18240bt4	13680bg3	22800ch4	86640ct4

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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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