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	6776a	Isogeny class
Conductor	6776	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-185919459539968 = -1 · 210 · 7 · 1110	Discriminant
Eigenvalues	2+  0 -2 7+ 11- -2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,13189,300806]	[a1,a2,a3,a4,a6]
j	139863132/102487	j-invariant
L	0.72397197305881	L(r)(E,1)/r!
Ω	0.3619859865294	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13552e4 54208h3 60984bx3 47432f3	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 6776a4

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

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Quadratic twists for elliptic curve 6776a4

-4	8	-3	-7	-11
13552e4	54208h3	60984bx3	47432f3	616e4

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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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