Cremona's table of elliptic curves

6160 = 2⁴ · 5 · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	6160d	Isogeny class
Conductor	6160	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	1024	Modular degree for the optimal curve
Δ	-33806080 = -1 · 28 · 5 · 74 · 11	Discriminant
Eigenvalues	2+  0 5- 7+ 11- -2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-47,-306]	[a1,a2,a3,a4,a6]
Generators	[543:2240:27]	Generators of the group modulo torsion
j	-44851536/132055	j-invariant
L	3.9833889083525	L(r)(E,1)/r!
Ω	0.84341240834654	Real period
R	4.7229432113308	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3080e1 24640z1 55440g1 30800l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160d1

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

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Quadratic twists for elliptic curve 6160d1

-4	8	-3	5	-7	-11
3080e1	24640z1	55440g1	30800l1	43120i1	67760p1

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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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