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	19920s	Isogeny class
Conductor	19920	Conductor
∏ cp	120	Product of Tamagawa factors cp
deg	199680	Modular degree for the optimal curve
Δ	68614440000000000 = 212 · 3 · 510 · 833	Discriminant
Eigenvalues	2- 3- 5-  0 -2  4 -4  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-555120,158510100]	[a1,a2,a3,a4,a6]
Generators	[500:2490:1]	Generators of the group modulo torsion
j	4618757595675440881/16751572265625	j-invariant
L	6.8138809932853	L(r)(E,1)/r!
Ω	0.34871925544936	Real period
R	0.65132441898044	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	1245b1 79680bd1 59760w1 99600bm1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19920s1

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	-2	4	-4	2	0	-2	0	2	-2	-4	-8	14	-14	-14	0	-16	-8	-6	-	6	8

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Quadratic twists for elliptic curve 19920s1

-4	8	-3	5
1245b1	79680bd1	59760w1	99600bm1

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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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