Cremona's table of elliptic curves

192 = 2⁶ · 3

Field	Data	Notes
Atkin-Lehner	2+ 3-	Signs for the Atkin-Lehner involutions
Class	192c	Isogeny class
Conductor	192	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	1179648 = 217 · 32	Discriminant
Eigenvalues	2+ 3-  2  0 -4  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1537,-23713]	[a1,a2,a3,a4,a6]
j	3065617154/9	j-invariant
L	1.5248868380819	L(r)(E,1)/r!
Ω	0.76244341904095	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	192d5 24a5 576d5 4800c5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 192c5

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	4	-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 192c5

-4	8	-3	5	-7	-11	13	17	-19	-23
192d5	24a5	576d5	4800c5	9408q5	23232bw6	32448bh6	55488k6	69312p6	101568bg6

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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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