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	16940f	Isogeny class
Conductor	16940	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	207360	Modular degree for the optimal curve
Δ	307565980918658000 = 24 · 53 · 72 · 1112	Discriminant
Eigenvalues	2- -2 5- 7+ 11-  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-300725,57494248]	[a1,a2,a3,a4,a6]
j	106110329552896/10850811125	j-invariant
L	1.7845632270015	L(r)(E,1)/r!
Ω	0.29742720450026	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	67760cm1 84700t1 118580l1 1540c1	Quadratic twists by: -4 5 -7 -11

Hecke Eigenvalues for elliptic curve 16940f1

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	-	+	-	4	0	4	6	6	-4	2	6	4	6	-6	0	10	2	12	-8	16	12	-18	-10

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Quadratic twists for elliptic curve 16940f1

-4	5	-7	-11
67760cm1	84700t1	118580l1	1540c1

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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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