Cremona's table of elliptic curves

6776 = 2³ · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	6776g	Isogeny class
Conductor	6776	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	177779689472 = 211 · 72 · 116	Discriminant
Eigenvalues	2-  2 -4 7+ 11-  0  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-4880,131276]	[a1,a2,a3,a4,a6]
Generators	[170:1533:8]	Generators of the group modulo torsion
j	3543122/49	j-invariant
L	4.3221235322181	L(r)(E,1)/r!
Ω	1.0170617449566	Real period
R	4.2496176398834	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	13552i2 54208t2 60984bc2 47432ba2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6776g2

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

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Quadratic twists for elliptic curve 6776g2

-4	8	-3	-7	-11
13552i2	54208t2	60984bc2	47432ba2	56b2

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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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