Cremona's table of elliptic curves

6783 = 3 · 7 · 17 · 19

Field	Data	Notes
Atkin-Lehner	3- 7+ 17+ 19-	Signs for the Atkin-Lehner involutions
Class	6783c	Isogeny class
Conductor	6783	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	919253688133664583 = 320 · 7 · 172 · 194	Discriminant
Eigenvalues	-1 3-  2 7+  0  2 17+ 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-454887,-108742662]	[a1,a2,a3,a4,a6]
Generators	[-369:3168:1]	Generators of the group modulo torsion
j	10409607351987143458033/919253688133664583	j-invariant
L	3.5079257145409	L(r)(E,1)/r!
Ω	0.1848695667595	Real period
R	1.8975138937305	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	108528s3 20349g3 47481i3 115311j3	Quadratic twists by: -4 -3 -7 17

Hecke Eigenvalues for elliptic curve 6783c4

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	+	0	2	+	-	-4	-2	0	-2	2	-12	-8	6	4	-10	-8	-8	-14	12	-4	10	-2

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Quadratic twists for elliptic curve 6783c4

-4	-3	-7	17	-19
108528s3	20349g3	47481i3	115311j3	128877a3

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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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