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	19920l	Isogeny class
Conductor	19920	Conductor
∏ cp	160	Product of Tamagawa factors cp
Δ	166620594585600 = 214 · 310 · 52 · 832	Discriminant
Eigenvalues	2- 3- 5+  0  0  6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-15256,-379756]	[a1,a2,a3,a4,a6]
Generators	[-106:240:1]	Generators of the group modulo torsion
j	95876963491609/40678856100	j-invariant
L	6.3503300258498	L(r)(E,1)/r!
Ω	0.44623603140771	Real period
R	1.4230876887769	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2490b2 79680bl2 59760bm2 99600bu2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19920l2

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	6	6	-4	4	-6	0	-10	-6	-8	-8	-6	-8	6	-8	0	6	4	+	6	6

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Quadratic twists for elliptic curve 19920l2

-4	8	-3	5
2490b2	79680bl2	59760bm2	99600bu2

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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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