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	6160g	Isogeny class
Conductor	6160	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	212031733760000 = 218 · 54 · 76 · 11	Discriminant
Eigenvalues	2-  2 5+ 7+ 11- -4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-57216,-5201920]	[a1,a2,a3,a4,a6]
Generators	[215442:1385650:729]	Generators of the group modulo torsion
j	5057359576472449/51765560000	j-invariant
L	5.0425500834666	L(r)(E,1)/r!
Ω	0.30887873664038	Real period
R	8.1626694966341	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	770f2 24640bt2 55440ec2 30800ca2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160g2

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
-	2	+	+	-	-4	0	4	0	-6	10	2	-12	4	-6	-6	6	-4	4	-12	-4	-8	-12	18	-10

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Quadratic twists for elliptic curve 6160g2

-4	8	-3	5	-7	-11
770f2	24640bt2	55440ec2	30800ca2	43120cv2	67760bt2

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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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