Cremona's table of elliptic curves

323 = 17 · 19

Field	Data	Notes
Atkin-Lehner	17+ 19-	Signs for the Atkin-Lehner involutions
Conductor	323	Conductor
Count	1	Number of curves in isogeny class
Curves	323a1	Curves in isogeny class
deg	140	Modular degree for the optimal curve
Eigenvalues	0  3 -2  4 -2  6 17+ 19-	Hecke eigenvalues for primes less than 20
L	1.8660949119674	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	5168e 20672f 2907b 8075f	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 323a

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
0	3	-2	4	-2	6	+	-	0	-9	-9	2	-6	-1	-3	2	14	-6	-14	16	-2	8	-3	2	-7

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Quadratic twists for isogeny class 323a

-4	8	-3	5	-7	-11	13	17	-19
5168e	20672f	2907b	8075f	15827j	39083f	54587a	5491b	6137a

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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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