Cremona's table of elliptic curves

399 = 3 · 7 · 19

Field	Data	Notes
Atkin-Lehner	3- 7+ 19+	Signs for the Atkin-Lehner involutions
Conductor	399	Conductor
Count	2	Number of curves in isogeny class
Curves	399c1 399c2	Curves in isogeny class
deg	168	Modular degree for the optimal curve
Eigenvalues	-1 3-  4 7+ -2  4  0 19+	Hecke eigenvalues for primes less than 20
L	1.3331183260701	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	6384z 25536l 1197c 9975d	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 399c

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
-1	-	4	+	-2	4	0	+	-6	10	0	6	-10	8	12	-6	-12	-2	-2	-12	-6	2	0	-2	-12

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Quadratic twists for isogeny class 399c

-4	8	-3	5	-7	-11	13	17	-19
6384z	25536l	1197c	9975d	2793d	48279bb	67431t	115311h	7581c

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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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