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	6160o	Isogeny class
Conductor	6160	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	13798400000000 = 216 · 58 · 72 · 11	Discriminant
Eigenvalues	2-  2 5- 7- 11+  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-13560,-576400]	[a1,a2,a3,a4,a6]
j	67324767141241/3368750000	j-invariant
L	3.5503338114302	L(r)(E,1)/r!
Ω	0.44379172642877	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	770d2 24640bq2 55440dp2 30800be2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 6160o2

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

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Quadratic twists for elliptic curve 6160o2

-4	8	-3	5	-7	-11
770d2	24640bq2	55440dp2	30800be2	43120bj2	67760cb2

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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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