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	32	Product of Tamagawa factors cp
Δ	1227672020960000 = 28 · 54 · 78 · 113	Discriminant
Eigenvalues	2-  0 5+ 7- 11+  0  0  0	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-27863,-602338]	[a1,a2,a3,a4,a6]
Generators	[286:3850:1]	Generators of the group modulo torsion
j	7020843884784/3603000625	j-invariant
L	4.3575767123741	L(r)(E,1)/r!
Ω	0.39049108773504	Real period
R	1.3949027420989	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	67760v2 84700a2 118580u2 16940a2	Quadratic twists by: -4 5 -7 -11

Hecke Eigenvalues for elliptic curve 16940b2

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 16940b2

-4	5	-7	-11
67760v2	84700a2	118580u2	16940a2

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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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