Cremona's table of elliptic curves

20160 = 2⁶ · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7-	Signs for the Atkin-Lehner involutions
Class	20160db	Isogeny class
Conductor	20160	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	-6397850160621158400 = -1 · 225 · 33 · 52 · 710	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4 -6  4  6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-205068,-126836208]	[a1,a2,a3,a4,a6]
Generators	[706:8960:1]	Generators of the group modulo torsion
j	-134745327251163/903920796800	j-invariant
L	4.5066969875012	L(r)(E,1)/r!
Ω	0.099766219487074	Real period
R	1.1293143637875	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	20160e2 5040bb2 20160dm2 100800jk2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 20160db2

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

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Quadratic twists for elliptic curve 20160db2

-4	8	-3	5
20160e2	5040bb2	20160dm2	100800jk2

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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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