Cremona's table of elliptic curves

2028 = 2² · 3 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 13-	Signs for the Atkin-Lehner involutions
Class	2028f	Isogeny class
Conductor	2028	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	8144255518464 = 28 · 3 · 139	Discriminant
Eigenvalues	2- 3- -2  4 -6 13-  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-35884,-2624764]	[a1,a2,a3,a4,a6]
j	1882384/3	j-invariant
L	2.0814508259696	L(r)(E,1)/r!
Ω	0.34690847099494	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8112z2 32448q2 6084o2 50700i2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2028f2

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	-6	-	2	0	8	2	8	8	2	8	-6	6	-2	2	-4	-6	-4	0	-14	6	12

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Quadratic twists for elliptic curve 2028f2

-4	8	-3	5	-7	13
8112z2	32448q2	6084o2	50700i2	99372x2	2028e2

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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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