Cremona's table of elliptic curves

16720 = 2⁴ · 5 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 19-	Signs for the Atkin-Lehner involutions
Class	16720bj	Isogeny class
Conductor	16720	Conductor
∏ cp	48	Product of Tamagawa factors cp
Δ	1016576000000000000 = 220 · 512 · 11 · 192	Discriminant
Eigenvalues	2-  0 5-  0 11-  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-86753027,-311010509054]	[a1,a2,a3,a4,a6]
Generators	[15001938:-1875466250:729]	Generators of the group modulo torsion
j	17628594000102642361428441/248187500000000	j-invariant
L	5.2206431594938	L(r)(E,1)/r!
Ω	0.049468460588838	Real period
R	8.7945650914928	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	2090f4 66880bz4 83600bx4	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 16720bj3

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

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Quadratic twists for elliptic curve 16720bj3

-4	8	5
2090f4	66880bz4	83600bx4

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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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