Cremona's table of elliptic curves

3192 = 2³ · 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7+ 19-	Signs for the Atkin-Lehner involutions
Conductor	3192	Conductor
Count	4	Number of curves in isogeny class
Curves	3192a1 3192a2 3192a3 3192a4	Curves in isogeny class
deg	512	Modular degree for the optimal curve
Eigenvalues	2+ 3+  2 7+  4 -6  6 19-	Hecke eigenvalues for primes less than 20
L	1.8217734478846	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6384k 25536bc 9576w 79800bt	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 3192a

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	+	4	-6	6	-	8	-6	0	-2	6	-4	4	2	12	-10	8	0	10	-12	16	6	-10

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Quadratic twists for isogeny class 3192a

-4	8	-3	5	-7	-19
6384k	25536bc	9576w	79800bt	22344u	60648bi

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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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