Cremona's table of elliptic curves

16940 = 2² · 5 · 7 · 11²

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 11+	Signs for the Atkin-Lehner involutions
Class	16940b	Isogeny class
Conductor	16940	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-19973318750000 = -1 · 24 · 58 · 74 · 113	Discriminant
Eigenvalues	2-  0 5+ 7- 11+  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,6512,-72963]	[a1,a2,a3,a4,a6]
Generators	[187:2772:1]	Generators of the group modulo torsion
j	1434065043456/937890625	j-invariant
L	4.3575767123741	L(r)(E,1)/r!
Ω	0.39049108773504	Real period
R	2.7898054841977	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	67760v1 84700a1 118580u1 16940a1	Quadratic twists by: -4 5 -7 -11

Hecke Eigenvalues for elliptic curve 16940b1

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

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Quadratic twists for elliptic curve 16940b1

-4	5	-7	-11
67760v1	84700a1	118580u1	16940a1

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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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