Cremona's table of elliptic curves

25992 = 2³ · 3² · 19²

Field	Data	Notes
Atkin-Lehner	2- 3- 19-	Signs for the Atkin-Lehner involutions
Class	25992bc	Isogeny class
Conductor	25992	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	105358685948928 = 210 · 37 · 196	Discriminant
Eigenvalues	2- 3-  2  0 -4  2 -2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-209019,36777958]	[a1,a2,a3,a4,a6]
j	28756228/3	j-invariant
L	2.2850998029044	L(r)(E,1)/r!
Ω	0.57127495072607	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	51984v4 8664g3 72a3	Quadratic twists by: -4 -3 -19

Hecke Eigenvalues for elliptic curve 25992bc4

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	-4	2	-2	-	8	6	-8	-6	-6	4	0	-2	4	-2	4	8	10	8	4	-6	-2

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Quadratic twists for elliptic curve 25992bc4

-4	-3	-19
51984v4	8664g3	72a3

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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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