Cremona's table of elliptic curves

43560 = 2³ · 3² · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	43560cp	Isogeny class
Conductor	43560	Conductor
∏ cp	128	Product of Tamagawa factors cp
deg	368640	Modular degree for the optimal curve
Δ	272758035052800 = 28 · 37 · 52 · 117	Discriminant
Eigenvalues	2- 3- 5- -4 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-300927,63533954]	[a1,a2,a3,a4,a6]
Generators	[-407:10890:1]	Generators of the group modulo torsion
j	9115564624/825	j-invariant
L	5.1027599731766	L(r)(E,1)/r!
Ω	0.52613677091406	Real period
R	1.2123178456774	Regulator
r	1	Rank of the group of rational points
S	1.0000000000013	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	87120cm1 14520f1 3960l1	Quadratic twists by: -4 -3 -11

Hecke Eigenvalues for elliptic curve 43560cp1

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

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Quadratic twists for elliptic curve 43560cp1

-4	-3	-11
87120cm1	14520f1	3960l1

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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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