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	20280w	Isogeny class
Conductor	20280	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	75177743247360 = 211 · 32 · 5 · 138	Discriminant
Eigenvalues	2- 3- 5+  2  0 13+ -4 -6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-33856,2349920]	[a1,a2,a3,a4,a6]
Generators	[4855:130806:125]	Generators of the group modulo torsion
j	434163602/7605	j-invariant
L	6.1789180365969	L(r)(E,1)/r!
Ω	0.61341795733785	Real period
R	5.0364665418441	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	40560b2 60840u2 101400g2 1560g2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 20280w2

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	0	+	-4	-6	6	4	-8	6	-6	4	-8	2	0	-2	4	8	0	16	4	6	-16

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Quadratic twists for elliptic curve 20280w2

-4	-3	5	13
40560b2	60840u2	101400g2	1560g2

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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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