Cremona's table of elliptic curves

6760 = 2³ · 5 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 13+	Signs for the Atkin-Lehner involutions
Class	6760a	Isogeny class
Conductor	6760	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	768	Modular degree for the optimal curve
Δ	67600 = 24 · 52 · 132	Discriminant
Eigenvalues	2+ -1 5+  3 -5 13+  5  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-56,181]	[a1,a2,a3,a4,a6]
Generators	[6:5:1]	Generators of the group modulo torsion
j	7311616/25	j-invariant
L	3.2155710233185	L(r)(E,1)/r!
Ω	3.4907663377001	Real period
R	0.23029119627619	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	13520d1 54080bg1 60840bx1 33800r1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6760a1

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	+	3	-5	+	5	1	-1	-9	4	3	1	-3	8	10	-3	7	9	-7	-10	-16	-12	-15	7

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Quadratic twists for elliptic curve 6760a1

-4	8	-3	5	13
13520d1	54080bg1	60840bx1	33800r1	6760k1

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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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