Cremona's table of elliptic curves

14520 = 2³ · 3 · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	14520bb	Isogeny class
Conductor	14520	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-10102149446400 = -1 · 28 · 34 · 52 · 117	Discriminant
Eigenvalues	2- 3+ 5+ -2 11-  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,5284,37380]	[a1,a2,a3,a4,a6]
Generators	[4:242:1]	Generators of the group modulo torsion
j	35969456/22275	j-invariant
L	3.5539307324815	L(r)(E,1)/r!
Ω	0.44771560417574	Real period
R	0.49612001169587	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	29040y2 116160el2 43560bc2 72600bo2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14520bb2

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	-	4	0	4	4	-6	-8	-10	6	-6	12	-10	4	14	-8	-8	4	0	14	-18	-10

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Quadratic twists for elliptic curve 14520bb2

-4	8	-3	5	-11
29040y2	116160el2	43560bc2	72600bo2	1320a2

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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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