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	6760j	Isogeny class
Conductor	6760	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	67600 = 24 · 52 · 132	Discriminant
Eigenvalues	2- -1 5-  3 -1 13+  1  1	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-420,3457]	[a1,a2,a3,a4,a6]
Generators	[12:1:1]	Generators of the group modulo torsion
j	3037375744/25	j-invariant
L	3.8750598390223	L(r)(E,1)/r!
Ω	3.1238724804895	Real period
R	0.31011667915579	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	13520j1 54080g1 60840l1 33800f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6760j1

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	-1	+	1	1	-5	3	-8	-9	5	9	-8	-10	-3	-5	-3	1	14	8	0	-3	-5

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Quadratic twists for elliptic curve 6760j1

-4	8	-3	5	13
13520j1	54080g1	60840l1	33800f1	6760b1

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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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