Cremona's table of elliptic curves

20280 = 2³ · 3 · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13+	Signs for the Atkin-Lehner involutions
Class	20280y	Isogeny class
Conductor	20280	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-4.4666151359076E+21	Discriminant
Eigenvalues	2- 3- 5+ -4  0 13+  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-5658176,-6099088176]	[a1,a2,a3,a4,a6]
Generators	[53642:4059375:8]	Generators of the group modulo torsion
j	-4053153720264484/903687890625	j-invariant
L	4.9113630826109	L(r)(E,1)/r!
Ω	0.048369437767313	Real period
R	6.3461600306344	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	40560e3 60840z3 101400k3 1560h4	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 20280y4

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	0	+	2	0	0	-2	4	-6	6	4	4	-10	0	-2	-8	-4	6	-8	-8	6	14

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Quadratic twists for elliptic curve 20280y4

-4	-3	5	13
40560e3	60840z3	101400k3	1560h4

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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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