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	16	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	154338394320 = 24 · 32 · 5 · 118	Discriminant
Eigenvalues	2- 3+ 5+ -2 11-  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1371,5436]	[a1,a2,a3,a4,a6]
Generators	[-7:121:1]	Generators of the group modulo torsion
j	10061824/5445	j-invariant
L	3.5539307324815	L(r)(E,1)/r!
Ω	0.89543120835148	Real period
R	0.99224002339175	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	29040y1 116160el1 43560bc1 72600bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14520bb1

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 14520bb1

-4	8	-3	5	-11
29040y1	116160el1	43560bc1	72600bo1	1320a1

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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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