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	8	Product of Tamagawa factors cp
Δ	21998887052182677 = 32 · 74 · 13 · 238	Discriminant
Eigenvalues	-1 3- -2 7+ -4 13-  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1504054,-710064817]	[a1,a2,a3,a4,a6]
Generators	[18502:714439:8]	Generators of the group modulo torsion
j	376282496854643496245857/21998887052182677	j-invariant
L	2.4130866844371	L(r)(E,1)/r!
Ω	0.13632804896028	Real period
R	8.8502942088614	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	100464bk6 18837f5 43953f6 81627u6	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 6279i5

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 6279i5

-4	-3	-7	13
100464bk6	18837f5	43953f6	81627u6

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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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