Cremona's table of elliptic curves

28392 = 2³ · 3 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	28392z	Isogeny class
Conductor	28392	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	2277446264314760448 = 28 · 310 · 74 · 137	Discriminant
Eigenvalues	2- 3-  0 7+  2 13+ -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-28119628,57384050192]	[a1,a2,a3,a4,a6]
Generators	[2978:7938:1]	Generators of the group modulo torsion
j	1989996724085074000/1843096437	j-invariant
L	6.5367723820212	L(r)(E,1)/r!
Ω	0.21703492775704	Real period
R	0.7529631808087	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	56784d2 85176m2 2184f2	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 28392z2

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
-	-	0	+	2	+	-6	8	-4	-6	-4	2	0	4	6	6	-10	10	4	6	-6	0	-6	12	2

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Quadratic twists for elliptic curve 28392z2

-4	-3	13
56784d2	85176m2	2184f2

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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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