Cremona's table of elliptic curves

19920 = 2⁴ · 3 · 5 · 83

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 83+	Signs for the Atkin-Lehner involutions
Class	19920n	Isogeny class
Conductor	19920	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	11152650240000 = 215 · 38 · 54 · 83	Discriminant
Eigenvalues	2- 3- 5+ -4 -4  2  2  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-57336,-5301036]	[a1,a2,a3,a4,a6]
Generators	[-138:48:1]	Generators of the group modulo torsion
j	5089246809796729/2722815000	j-invariant
L	4.6187172135841	L(r)(E,1)/r!
Ω	0.30853612552827	Real period
R	0.93561110665649	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	2490d4 79680bo4 59760bp4 99600cd4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19920n3

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
-	-	+	-4	-4	2	2	0	-4	6	0	10	-6	-4	8	-6	12	-2	-4	8	-10	-8	+	-6	14

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Quadratic twists for elliptic curve 19920n3

-4	8	-3	5
2490d4	79680bo4	59760bp4	99600cd4

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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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