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	16720i	Isogeny class
Conductor	16720	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	3328	Modular degree for the optimal curve
Δ	5350400 = 210 · 52 · 11 · 19	Discriminant
Eigenvalues	2+ -2 5+  0 11+ -2 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-56,100]	[a1,a2,a3,a4,a6]
Generators	[-8:10:1] [-6:16:1]	Generators of the group modulo torsion
j	19307236/5225	j-invariant
L	4.946682377136	L(r)(E,1)/r!
Ω	2.2540490810821	Real period
R	1.0972880800718	Regulator
r	2	Rank of the group of rational points
S	0.99999999999995	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	8360j1 66880dk1 83600k1	Quadratic twists by: -4 8 5

Hecke Eigenvalues for elliptic curve 16720i1

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

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Quadratic twists for elliptic curve 16720i1

-4	8	5
8360j1	66880dk1	83600k1

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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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