Cremona's table of elliptic curves

1349 = 19 · 71

Field	Data	Notes
Atkin-Lehner	19+ 71-	Signs for the Atkin-Lehner involutions
Conductor	1349	Conductor
Count	1	Number of curves in isogeny class
Curves	1349b1	Curves in isogeny class
deg	4068	Modular degree for the optimal curve
Eigenvalues	0  0 -1 -3 -3 -2  3 19+	Hecke eigenvalues for primes less than 20
L	0.56163523752336	L(r)(E,1)/r!
r	0	Rank of the group of rational points
Twists	21584c 86336h 12141c 33725b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 1349b

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	0	-1	-3	-3	-2	3	+	8	4	-8	10	-2	7	11	0	-14	-11	8	-	-11	6	-4	12	8

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Quadratic twists for isogeny class 1349b

-4	8	-3	5	-7	-19	-71
21584c	86336h	12141c	33725b	66101j	25631c	95779b

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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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