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	6760g	Isogeny class
Conductor	6760	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	24713262080 = 210 · 5 · 136	Discriminant
Eigenvalues	2-  0 5+  4 -4 13+  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-18083,-935922]	[a1,a2,a3,a4,a6]
j	132304644/5	j-invariant
L	1.6468077805732	L(r)(E,1)/r!
Ω	0.41170194514329	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	13520a3 54080bf4 60840y4 33800b4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6760g3

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

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Quadratic twists for elliptic curve 6760g3

-4	8	-3	5	13
13520a3	54080bf4	60840y4	33800b4	40a2

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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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