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	6776h	Isogeny class
Conductor	6776	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	977788292096 = 210 · 72 · 117	Discriminant
Eigenvalues	2- -2  2 7+ 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-28112,1804240]	[a1,a2,a3,a4,a6]
Generators	[88:140:1]	Generators of the group modulo torsion
j	1354435492/539	j-invariant
L	3.034555059822	L(r)(E,1)/r!
Ω	0.8647772904125	Real period
R	1.7545298040692	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	13552g2 54208o2 60984w2 47432y2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6776h2

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	2	+	-	-4	0	4	4	-10	2	10	0	-4	-2	2	6	0	-8	12	12	-16	4	-6	-10

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Quadratic twists for elliptic curve 6776h2

-4	8	-3	-7	-11
13552g2	54208o2	60984w2	47432y2	616c2

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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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