Cremona's table of elliptic curves

51984 = 2⁴ · 3² · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3- 19-	Signs for the Atkin-Lehner involutions
Conductor	51984	Conductor
Count	6	Number of curves in isogeny class
Curves	51984v1 51984v2 51984v3 51984v4 51984v5 51984v6	Curves in isogeny class
deg	55296	Modular degree for the optimal curve
Eigenvalues	2+ 3-  2  0  4  2 -2 19-	Hecke eigenvalues for primes less than 20
L	7.8278171132995	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	25992bc 17328f 144b	Quadratic twists by: -4 -3 -19

Hecke Eigenvalues for isogeny class 51984v

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 isogeny class 51984v

-4	-3	-19
25992bc	17328f	144b

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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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