Cremona's table of elliptic curves

6942 = 2 · 3 · 13 · 89

Field	Data	Notes
Atkin-Lehner	2- 3- 13- 89+	Signs for the Atkin-Lehner involutions
Class	6942n	Isogeny class
Conductor	6942	Conductor
∏ cp	6	Product of Tamagawa factors cp
Δ	-9.2367962273441E+21	Discriminant
Eigenvalues	2- 3- -3 -1  3 13-  0 -7	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2256837,-4804811139]	[a1,a2,a3,a4,a6]
j	-1271230499775148533281233/9236796227344140050076	j-invariant
L	2.9453757579909	L(r)(E,1)/r!
Ω	0.05454399551835	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	55536ba3 20826p3 90246k3	Quadratic twists by: -4 -3 13

Hecke Eigenvalues for elliptic curve 6942n3

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
-	-	-3	-1	3	-	0	-7	-3	3	5	2	6	8	3	0	-12	8	14	9	2	-1	12	+	-10

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Quadratic twists for elliptic curve 6942n3

-4	-3	13
55536ba3	20826p3	90246k3

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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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