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	6760i	Isogeny class
Conductor	6760	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	20882706457600 = 210 · 52 · 138	Discriminant
Eigenvalues	2-  0 5-  0  4 13+ -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-7267,-92274]	[a1,a2,a3,a4,a6]
Generators	[-8470:37296:125]	Generators of the group modulo torsion
j	8586756/4225	j-invariant
L	4.2615204430699	L(r)(E,1)/r!
Ω	0.54369176835716	Real period
R	7.8381183808368	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	13520h2 54080a2 60840h2 33800a2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6760i2

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	-	0	4	+	-6	-4	0	-2	4	6	6	8	0	2	-4	-10	-12	4	-14	-16	-12	-2	2

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Quadratic twists for elliptic curve 6760i2

-4	8	-3	5	13
13520h2	54080a2	60840h2	33800a2	520a2

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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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