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	14520a	Isogeny class
Conductor	14520	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-785942190000 = -1 · 24 · 310 · 54 · 113	Discriminant
Eigenvalues	2+ 3+ 5+ -2 11+ -4 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-22271,1287420]	[a1,a2,a3,a4,a6]
Generators	[71:243:1]	Generators of the group modulo torsion
j	-57367289145344/36905625	j-invariant
L	3.080435584056	L(r)(E,1)/r!
Ω	0.88674255124308	Real period
R	0.86846954049336	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	29040u1 116160dw1 43560ce1 72600di1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 14520a1

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	-2	2	4	-6	0	10	-2	2	0	6	0	-4	4	0	0	2	0	10	-6

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Quadratic twists for elliptic curve 14520a1

-4	8	-3	5	-11
29040u1	116160dw1	43560ce1	72600di1	14520z1

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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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