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	16720v	Isogeny class
Conductor	16720	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	14313390080 = 216 · 5 · 112 · 192	Discriminant
Eigenvalues	2-  2 5+ -2 11- -2  0 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-6896,222656]	[a1,a2,a3,a4,a6]
Generators	[40:96:1]	Generators of the group modulo torsion
j	8855610342769/3494480	j-invariant
L	6.0804003790376	L(r)(E,1)/r!
Ω	1.2294833358856	Real period
R	1.2363730767156	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	2090l2 66880df2 83600bv2	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 16720v2

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

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Quadratic twists for elliptic curve 16720v2

-4	8	5
2090l2	66880df2	83600bv2

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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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