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	19920j	Isogeny class
Conductor	19920	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	-137136291840 = -1 · 214 · 35 · 5 · 832	Discriminant
Eigenvalues	2- 3+ 5- -2  0  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-480,18432]	[a1,a2,a3,a4,a6]
j	-2992209121/33480540	j-invariant
L	1.7633643985497	L(r)(E,1)/r!
Ω	0.88168219927486	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	2490j1 79680bq1 59760z1 99600ct1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 19920j1

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	0	2	2	-4	4	4	8	-8	-2	10	0	10	-8	10	-10	-4	4	16	-	-12	-8

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Quadratic twists for elliptic curve 19920j1

-4	8	-3	5
2490j1	79680bq1	59760z1	99600ct1

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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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