Cremona's table of elliptic curves

6279 = 3 · 7 · 13 · 23

Field	Data	Notes
Atkin-Lehner	3- 7+ 13- 23+	Signs for the Atkin-Lehner involutions
Class	6279i	Isogeny class
Conductor	6279	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	22083473665538649 = 34 · 78 · 132 · 234	Discriminant
Eigenvalues	-1 3- -2 7+ -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-99469,-9738736]	[a1,a2,a3,a4,a6]
Generators	[512:8324:1]	Generators of the group modulo torsion
j	108839676059205423697/22083473665538649	j-invariant
L	2.4130866844371	L(r)(E,1)/r!
Ω	0.27265609792056	Real period
R	4.4251471044307	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	100464bk3 18837f4 43953f3 81627u3	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 6279i3

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
-1	-	-2	+	-4	-	2	4	+	-2	8	-2	-6	-4	-8	6	4	-2	4	16	10	0	4	2	10

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Quadratic twists for elliptic curve 6279i3

-4	-3	-7	13
100464bk3	18837f4	43953f3	81627u3

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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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